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Finding the Third Proportional to 787,102 and 1,739,591

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Solution

The third proportional to 787,102 and 1,739,591 is: 3,844,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,102 : 1,739,591 = 1,739,591 : x
  2. Step 2: Convert to fraction form
    787,102/1,739,591 = 1,739,591/x
  3. Step 3: Cross multiply
    787,102x = 1,739,591 × 1,739,591
  4. Step 4: Simplify right side
    787,102x = 3,026,176,847,281
  5. Step 5: Solve for x
    x = 3,026,176,847,281/787,102
  6. Step 6: Final answer
    x = 3,844,707.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.