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Finding the Third Proportional to 666,940 and 1,034,263

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Solution

The third proportional to 666,940 and 1,034,263 is: 1,603,892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,940 : 1,034,263 = 1,034,263 : x
  2. Step 2: Convert to fraction form
    666,940/1,034,263 = 1,034,263/x
  3. Step 3: Cross multiply
    666,940x = 1,034,263 × 1,034,263
  4. Step 4: Simplify right side
    666,940x = 1,069,699,953,169
  5. Step 5: Solve for x
    x = 1,069,699,953,169/666,940
  6. Step 6: Final answer
    x = 1,603,892.33

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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.