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Finding the Third Proportional to 713,703 and 1,569,353

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Solution

The third proportional to 713,703 and 1,569,353 is: 3,450,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,703 : 1,569,353 = 1,569,353 : x
  2. Step 2: Convert to fraction form
    713,703/1,569,353 = 1,569,353/x
  3. Step 3: Cross multiply
    713,703x = 1,569,353 × 1,569,353
  4. Step 4: Simplify right side
    713,703x = 2,462,868,838,609
  5. Step 5: Solve for x
    x = 2,462,868,838,609/713,703
  6. Step 6: Final answer
    x = 3,450,831.56

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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.