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Finding the Third Proportional to 4,488,923 and 6,964,959

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Solution

The third proportional to 4,488,923 and 6,964,959 is: 10,806,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488,923 : 6,964,959 = 6,964,959 : x
  2. Step 2: Convert to fraction form
    4,488,923/6,964,959 = 6,964,959/x
  3. Step 3: Cross multiply
    4,488,923x = 6,964,959 × 6,964,959
  4. Step 4: Simplify right side
    4,488,923x = 48,510,653,871,681
  5. Step 5: Solve for x
    x = 48,510,653,871,681/4,488,923
  6. Step 6: Final answer
    x = 10,806,746.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.