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Finding the Third Proportional to 631,416 and 1,122,585

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Solution

The third proportional to 631,416 and 1,122,585 is: 1,995,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,416 : 1,122,585 = 1,122,585 : x
  2. Step 2: Convert to fraction form
    631,416/1,122,585 = 1,122,585/x
  3. Step 3: Cross multiply
    631,416x = 1,122,585 × 1,122,585
  4. Step 4: Simplify right side
    631,416x = 1,260,197,082,225
  5. Step 5: Solve for x
    x = 1,260,197,082,225/631,416
  6. Step 6: Final answer
    x = 1,995,826.97

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.