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Finding the Third Proportional to 745,698 and 1,166,531

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Solution

The third proportional to 745,698 and 1,166,531 is: 1,824,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,698 : 1,166,531 = 1,166,531 : x
  2. Step 2: Convert to fraction form
    745,698/1,166,531 = 1,166,531/x
  3. Step 3: Cross multiply
    745,698x = 1,166,531 × 1,166,531
  4. Step 4: Simplify right side
    745,698x = 1,360,794,573,961
  5. Step 5: Solve for x
    x = 1,360,794,573,961/745,698
  6. Step 6: Final answer
    x = 1,824,860.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.