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Finding the Third Proportional to 802,126 and 1,712,522

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Solution

The third proportional to 802,126 and 1,712,522 is: 3,656,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,126 : 1,712,522 = 1,712,522 : x
  2. Step 2: Convert to fraction form
    802,126/1,712,522 = 1,712,522/x
  3. Step 3: Cross multiply
    802,126x = 1,712,522 × 1,712,522
  4. Step 4: Simplify right side
    802,126x = 2,932,731,600,484
  5. Step 5: Solve for x
    x = 2,932,731,600,484/802,126
  6. Step 6: Final answer
    x = 3,656,198.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.