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Finding the Third Proportional to 731,988 and 1,168,776

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Solution

The third proportional to 731,988 and 1,168,776 is: 1,866,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,988 : 1,168,776 = 1,168,776 : x
  2. Step 2: Convert to fraction form
    731,988/1,168,776 = 1,168,776/x
  3. Step 3: Cross multiply
    731,988x = 1,168,776 × 1,168,776
  4. Step 4: Simplify right side
    731,988x = 1,366,037,338,176
  5. Step 5: Solve for x
    x = 1,366,037,338,176/731,988
  6. Step 6: Final answer
    x = 1,866,201.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.