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Finding the Third Proportional to 971,278 and 1,470,463

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Solution

The third proportional to 971,278 and 1,470,463 is: 2,226,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,278 : 1,470,463 = 1,470,463 : x
  2. Step 2: Convert to fraction form
    971,278/1,470,463 = 1,470,463/x
  3. Step 3: Cross multiply
    971,278x = 1,470,463 × 1,470,463
  4. Step 4: Simplify right side
    971,278x = 2,162,261,434,369
  5. Step 5: Solve for x
    x = 2,162,261,434,369/971,278
  6. Step 6: Final answer
    x = 2,226,202.42

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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.