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Finding the Third Proportional to 971,542 and 1,470,868

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Solution

The third proportional to 971,542 and 1,470,868 is: 2,226,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,542 : 1,470,868 = 1,470,868 : x
  2. Step 2: Convert to fraction form
    971,542/1,470,868 = 1,470,868/x
  3. Step 3: Cross multiply
    971,542x = 1,470,868 × 1,470,868
  4. Step 4: Simplify right side
    971,542x = 2,163,452,673,424
  5. Step 5: Solve for x
    x = 2,163,452,673,424/971,542
  6. Step 6: Final answer
    x = 2,226,823.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.