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Finding the Third Proportional to 802,124 and 1,712,518

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Solution

The third proportional to 802,124 and 1,712,518 is: 3,656,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,124 : 1,712,518 = 1,712,518 : x
  2. Step 2: Convert to fraction form
    802,124/1,712,518 = 1,712,518/x
  3. Step 3: Cross multiply
    802,124x = 1,712,518 × 1,712,518
  4. Step 4: Simplify right side
    802,124x = 2,932,717,900,324
  5. Step 5: Solve for x
    x = 2,932,717,900,324/802,124
  6. Step 6: Final answer
    x = 3,656,190.19

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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.