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Finding the Third Proportional to 1,006,654 and 2,129,906

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Solution

The third proportional to 1,006,654 and 2,129,906 is: 4,506,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,654 : 2,129,906 = 2,129,906 : x
  2. Step 2: Convert to fraction form
    1,006,654/2,129,906 = 2,129,906/x
  3. Step 3: Cross multiply
    1,006,654x = 2,129,906 × 2,129,906
  4. Step 4: Simplify right side
    1,006,654x = 4,536,499,568,836
  5. Step 5: Solve for x
    x = 4,536,499,568,836/1,006,654
  6. Step 6: Final answer
    x = 4,506,513.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.