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Finding the Third Proportional to 625,281 and 1,272,657

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Solution

The third proportional to 625,281 and 1,272,657 is: 2,590,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,281 : 1,272,657 = 1,272,657 : x
  2. Step 2: Convert to fraction form
    625,281/1,272,657 = 1,272,657/x
  3. Step 3: Cross multiply
    625,281x = 1,272,657 × 1,272,657
  4. Step 4: Simplify right side
    625,281x = 1,619,655,839,649
  5. Step 5: Solve for x
    x = 1,619,655,839,649/625,281
  6. Step 6: Final answer
    x = 2,590,284.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.