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Finding the Third Proportional to 676,052 and 1,011,972

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Solution

The third proportional to 676,052 and 1,011,972 is: 1,514,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,052 : 1,011,972 = 1,011,972 : x
  2. Step 2: Convert to fraction form
    676,052/1,011,972 = 1,011,972/x
  3. Step 3: Cross multiply
    676,052x = 1,011,972 × 1,011,972
  4. Step 4: Simplify right side
    676,052x = 1,024,087,328,784
  5. Step 5: Solve for x
    x = 1,024,087,328,784/676,052
  6. Step 6: Final answer
    x = 1,514,805.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.