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Finding the Third Proportional to 2,471,031 and 5,414,454

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Solution

The third proportional to 2,471,031 and 5,414,454 is: 11,864,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,031 : 5,414,454 = 5,414,454 : x
  2. Step 2: Convert to fraction form
    2,471,031/5,414,454 = 5,414,454/x
  3. Step 3: Cross multiply
    2,471,031x = 5,414,454 × 5,414,454
  4. Step 4: Simplify right side
    2,471,031x = 29,316,312,118,116
  5. Step 5: Solve for x
    x = 29,316,312,118,116/2,471,031
  6. Step 6: Final answer
    x = 11,864,000.14

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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.