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Finding the Third Proportional to 771,572 and 1,146,181

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Solution

The third proportional to 771,572 and 1,146,181 is: 1,702,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,572 : 1,146,181 = 1,146,181 : x
  2. Step 2: Convert to fraction form
    771,572/1,146,181 = 1,146,181/x
  3. Step 3: Cross multiply
    771,572x = 1,146,181 × 1,146,181
  4. Step 4: Simplify right side
    771,572x = 1,313,730,884,761
  5. Step 5: Solve for x
    x = 1,313,730,884,761/771,572
  6. Step 6: Final answer
    x = 1,702,667.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.