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Finding the Third Proportional to 799,394 and 1,712,747

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Solution

The third proportional to 799,394 and 1,712,747 is: 3,669,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,394 : 1,712,747 = 1,712,747 : x
  2. Step 2: Convert to fraction form
    799,394/1,712,747 = 1,712,747/x
  3. Step 3: Cross multiply
    799,394x = 1,712,747 × 1,712,747
  4. Step 4: Simplify right side
    799,394x = 2,933,502,286,009
  5. Step 5: Solve for x
    x = 2,933,502,286,009/799,394
  6. Step 6: Final answer
    x = 3,669,657.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.