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Finding the Third Proportional to 2,678,904 and 5,878,089

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Solution

The third proportional to 2,678,904 and 5,878,089 is: 12,897,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,904 : 5,878,089 = 5,878,089 : x
  2. Step 2: Convert to fraction form
    2,678,904/5,878,089 = 5,878,089/x
  3. Step 3: Cross multiply
    2,678,904x = 5,878,089 × 5,878,089
  4. Step 4: Simplify right side
    2,678,904x = 34,551,930,291,921
  5. Step 5: Solve for x
    x = 34,551,930,291,921/2,678,904
  6. Step 6: Final answer
    x = 12,897,785.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.