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Finding the Third Proportional to 721,212 and 1,142,020

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Solution

The third proportional to 721,212 and 1,142,020 is: 1,808,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,212 : 1,142,020 = 1,142,020 : x
  2. Step 2: Convert to fraction form
    721,212/1,142,020 = 1,142,020/x
  3. Step 3: Cross multiply
    721,212x = 1,142,020 × 1,142,020
  4. Step 4: Simplify right side
    721,212x = 1,304,209,680,400
  5. Step 5: Solve for x
    x = 1,304,209,680,400/721,212
  6. Step 6: Final answer
    x = 1,808,358.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.