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Finding the Third Proportional to 1,377,206 and 2,971,948

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Solution

The third proportional to 1,377,206 and 2,971,948 is: 6,413,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,206 : 2,971,948 = 2,971,948 : x
  2. Step 2: Convert to fraction form
    1,377,206/2,971,948 = 2,971,948/x
  3. Step 3: Cross multiply
    1,377,206x = 2,971,948 × 2,971,948
  4. Step 4: Simplify right side
    1,377,206x = 8,832,474,914,704
  5. Step 5: Solve for x
    x = 8,832,474,914,704/1,377,206
  6. Step 6: Final answer
    x = 6,413,328.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.