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Finding the Third Proportional to 472,705 and 1,011,860

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Solution

The third proportional to 472,705 and 1,011,860 is: 2,165,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,705 : 1,011,860 = 1,011,860 : x
  2. Step 2: Convert to fraction form
    472,705/1,011,860 = 1,011,860/x
  3. Step 3: Cross multiply
    472,705x = 1,011,860 × 1,011,860
  4. Step 4: Simplify right side
    472,705x = 1,023,860,659,600
  5. Step 5: Solve for x
    x = 1,023,860,659,600/472,705
  6. Step 6: Final answer
    x = 2,165,961.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.