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Finding the Third Proportional to 802,118 and 1,712,506

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Solution

The third proportional to 802,118 and 1,712,506 is: 3,656,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,118 : 1,712,506 = 1,712,506 : x
  2. Step 2: Convert to fraction form
    802,118/1,712,506 = 1,712,506/x
  3. Step 3: Cross multiply
    802,118x = 1,712,506 × 1,712,506
  4. Step 4: Simplify right side
    802,118x = 2,932,676,800,036
  5. Step 5: Solve for x
    x = 2,932,676,800,036/802,118
  6. Step 6: Final answer
    x = 3,656,166.30

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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.