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Finding the Third Proportional to 676,356 and 1,012,671

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Solution

The third proportional to 676,356 and 1,012,671 is: 1,516,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,356 : 1,012,671 = 1,012,671 : x
  2. Step 2: Convert to fraction form
    676,356/1,012,671 = 1,012,671/x
  3. Step 3: Cross multiply
    676,356x = 1,012,671 × 1,012,671
  4. Step 4: Simplify right side
    676,356x = 1,025,502,554,241
  5. Step 5: Solve for x
    x = 1,025,502,554,241/676,356
  6. Step 6: Final answer
    x = 1,516,217.13

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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.