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Finding the Third Proportional to 979,972 and 1,494,870

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Solution

The third proportional to 979,972 and 1,494,870 is: 2,280,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,972 : 1,494,870 = 1,494,870 : x
  2. Step 2: Convert to fraction form
    979,972/1,494,870 = 1,494,870/x
  3. Step 3: Cross multiply
    979,972x = 1,494,870 × 1,494,870
  4. Step 4: Simplify right side
    979,972x = 2,234,636,316,900
  5. Step 5: Solve for x
    x = 2,234,636,316,900/979,972
  6. Step 6: Final answer
    x = 2,280,306.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.