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Finding the Third Proportional to 666,937 and 1,034,259

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Solution

The third proportional to 666,937 and 1,034,259 is: 1,603,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,937 : 1,034,259 = 1,034,259 : x
  2. Step 2: Convert to fraction form
    666,937/1,034,259 = 1,034,259/x
  3. Step 3: Cross multiply
    666,937x = 1,034,259 × 1,034,259
  4. Step 4: Simplify right side
    666,937x = 1,069,691,679,081
  5. Step 5: Solve for x
    x = 1,069,691,679,081/666,937
  6. Step 6: Final answer
    x = 1,603,887.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.