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Finding the Third Proportional to 929,085.75 and 1,357,767

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Solution

The third proportional to 929,085.75 and 1,357,767 is: 1,984,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,085.75 : 1,357,767 = 1,357,767 : x
  2. Step 2: Convert to fraction form
    929,085.75/1,357,767 = 1,357,767/x
  3. Step 3: Cross multiply
    929,085.75x = 1,357,767 × 1,357,767
  4. Step 4: Simplify right side
    929,085.75x = 1,843,531,226,289
  5. Step 5: Solve for x
    x = 1,843,531,226,289/929,085.75
  6. Step 6: Final answer
    x = 1,984,242.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.