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Finding the Third Proportional to 802,306.13 and 1,762,066.13

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Solution

The third proportional to 802,306.13 and 1,762,066.13 is: 3,869,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,306.13 : 1,762,066.13 = 1,762,066.13 : x
  2. Step 2: Convert to fraction form
    802,306.13/1,762,066.13 = 1,762,066.13/x
  3. Step 3: Cross multiply
    802,306.13x = 1,762,066.13 × 1,762,066.13
  4. Step 4: Simplify right side
    802,306.13x = 3,104,877,028,872.52
  5. Step 5: Solve for x
    x = 3,104,877,028,872.52/802,306.13
  6. Step 6: Final answer
    x = 3,869,940.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.