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Finding the Third Proportional to 4,109,730 and 6,545,115

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Solution

The third proportional to 4,109,730 and 6,545,115 is: 10,423,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109,730 : 6,545,115 = 6,545,115 : x
  2. Step 2: Convert to fraction form
    4,109,730/6,545,115 = 6,545,115/x
  3. Step 3: Cross multiply
    4,109,730x = 6,545,115 × 6,545,115
  4. Step 4: Simplify right side
    4,109,730x = 42,838,530,363,225
  5. Step 5: Solve for x
    x = 42,838,530,363,225/4,109,730
  6. Step 6: Final answer
    x = 10,423,684.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.