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Finding the Third Proportional to 765,531 and 1,668,836.25

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Solution

The third proportional to 765,531 and 1,668,836.25 is: 3,638,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,531 : 1,668,836.25 = 1,668,836.25 : x
  2. Step 2: Convert to fraction form
    765,531/1,668,836.25 = 1,668,836.25/x
  3. Step 3: Cross multiply
    765,531x = 1,668,836.25 × 1,668,836.25
  4. Step 4: Simplify right side
    765,531x = 2,785,014,429,314.06
  5. Step 5: Solve for x
    x = 2,785,014,429,314.06/765,531
  6. Step 6: Final answer
    x = 3,638,016.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.