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Finding the Third Proportional to 761,741,705.25 and 1,072,700,178.75

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Solution

The third proportional to 761,741,705.25 and 1,072,700,178.75 is: 1,510,598,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,741,705.25 : 1,072,700,178.75 = 1,072,700,178.75 : x
  2. Step 2: Convert to fraction form
    761,741,705.25/1,072,700,178.75 = 1,072,700,178.75/x
  3. Step 3: Cross multiply
    761,741,705.25x = 1,072,700,178.75 × 1,072,700,178.75
  4. Step 4: Simplify right side
    761,741,705.25x = 1,150,685,673,490,281,984
  5. Step 5: Solve for x
    x = 1,150,685,673,490,281,984/761,741,705.25
  6. Step 6: Final answer
    x = 1,510,598,232.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.