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Finding the Third Proportional to 781,120 and 1,250,304

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Solution

The third proportional to 781,120 and 1,250,304 is: 2,001,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,120 : 1,250,304 = 1,250,304 : x
  2. Step 2: Convert to fraction form
    781,120/1,250,304 = 1,250,304/x
  3. Step 3: Cross multiply
    781,120x = 1,250,304 × 1,250,304
  4. Step 4: Simplify right side
    781,120x = 1,563,260,092,416
  5. Step 5: Solve for x
    x = 1,563,260,092,416/781,120
  6. Step 6: Final answer
    x = 2,001,305.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.