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Finding the Third Proportional to 4,176,508 and 6,645,711

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Solution

The third proportional to 4,176,508 and 6,645,711 is: 10,574,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176,508 : 6,645,711 = 6,645,711 : x
  2. Step 2: Convert to fraction form
    4,176,508/6,645,711 = 6,645,711/x
  3. Step 3: Cross multiply
    4,176,508x = 6,645,711 × 6,645,711
  4. Step 4: Simplify right side
    4,176,508x = 44,165,474,695,521
  5. Step 5: Solve for x
    x = 44,165,474,695,521/4,176,508
  6. Step 6: Final answer
    x = 10,574,737.24

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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.