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Finding the Third Proportional to 1,298,031 and 2,840,760

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Solution

The third proportional to 1,298,031 and 2,840,760 is: 6,217,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,031 : 2,840,760 = 2,840,760 : x
  2. Step 2: Convert to fraction form
    1,298,031/2,840,760 = 2,840,760/x
  3. Step 3: Cross multiply
    1,298,031x = 2,840,760 × 2,840,760
  4. Step 4: Simplify right side
    1,298,031x = 8,069,917,377,600
  5. Step 5: Solve for x
    x = 8,069,917,377,600/1,298,031
  6. Step 6: Final answer
    x = 6,217,045.18

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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.