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Finding the Third Proportional to 721,302 and 1,567,020

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Solution

The third proportional to 721,302 and 1,567,020 is: 3,404,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,302 : 1,567,020 = 1,567,020 : x
  2. Step 2: Convert to fraction form
    721,302/1,567,020 = 1,567,020/x
  3. Step 3: Cross multiply
    721,302x = 1,567,020 × 1,567,020
  4. Step 4: Simplify right side
    721,302x = 2,455,551,680,400
  5. Step 5: Solve for x
    x = 2,455,551,680,400/721,302
  6. Step 6: Final answer
    x = 3,404,332.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.