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Finding the Third Proportional to 4,328,730 and 6,728,877

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Solution

The third proportional to 4,328,730 and 6,728,877 is: 10,459,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328,730 : 6,728,877 = 6,728,877 : x
  2. Step 2: Convert to fraction form
    4,328,730/6,728,877 = 6,728,877/x
  3. Step 3: Cross multiply
    4,328,730x = 6,728,877 × 6,728,877
  4. Step 4: Simplify right side
    4,328,730x = 45,277,785,681,129
  5. Step 5: Solve for x
    x = 45,277,785,681,129/4,328,730
  6. Step 6: Final answer
    x = 10,459,831.33

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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.