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Finding the Third Proportional to 971,314 and 1,470,518

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Solution

The third proportional to 971,314 and 1,470,518 is: 2,226,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,314 : 1,470,518 = 1,470,518 : x
  2. Step 2: Convert to fraction form
    971,314/1,470,518 = 1,470,518/x
  3. Step 3: Cross multiply
    971,314x = 1,470,518 × 1,470,518
  4. Step 4: Simplify right side
    971,314x = 2,162,423,188,324
  5. Step 5: Solve for x
    x = 2,162,423,188,324/971,314
  6. Step 6: Final answer
    x = 2,226,286.44

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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.