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Finding the Third Proportional to 1,154,464 and 1,687,008

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Solution

The third proportional to 1,154,464 and 1,687,008 is: 2,465,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,464 : 1,687,008 = 1,687,008 : x
  2. Step 2: Convert to fraction form
    1,154,464/1,687,008 = 1,687,008/x
  3. Step 3: Cross multiply
    1,154,464x = 1,687,008 × 1,687,008
  4. Step 4: Simplify right side
    1,154,464x = 2,845,995,992,064
  5. Step 5: Solve for x
    x = 2,845,995,992,064/1,154,464
  6. Step 6: Final answer
    x = 2,465,209.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.