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Finding the Third Proportional to 592,959 and 1,156,110

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Solution

The third proportional to 592,959 and 1,156,110 is: 2,254,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,959 : 1,156,110 = 1,156,110 : x
  2. Step 2: Convert to fraction form
    592,959/1,156,110 = 1,156,110/x
  3. Step 3: Cross multiply
    592,959x = 1,156,110 × 1,156,110
  4. Step 4: Simplify right side
    592,959x = 1,336,590,332,100
  5. Step 5: Solve for x
    x = 1,336,590,332,100/592,959
  6. Step 6: Final answer
    x = 2,254,102.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.