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Finding the Third Proportional to 1,096,454 and 1,687,498

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Solution

The third proportional to 1,096,454 and 1,687,498 is: 2,597,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,454 : 1,687,498 = 1,687,498 : x
  2. Step 2: Convert to fraction form
    1,096,454/1,687,498 = 1,687,498/x
  3. Step 3: Cross multiply
    1,096,454x = 1,687,498 × 1,687,498
  4. Step 4: Simplify right side
    1,096,454x = 2,847,649,500,004
  5. Step 5: Solve for x
    x = 2,847,649,500,004/1,096,454
  6. Step 6: Final answer
    x = 2,597,144.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.