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Finding the Third Proportional to 651,098 and 1,008,035

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Solution

The third proportional to 651,098 and 1,008,035 is: 1,560,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,098 : 1,008,035 = 1,008,035 : x
  2. Step 2: Convert to fraction form
    651,098/1,008,035 = 1,008,035/x
  3. Step 3: Cross multiply
    651,098x = 1,008,035 × 1,008,035
  4. Step 4: Simplify right side
    651,098x = 1,016,134,561,225
  5. Step 5: Solve for x
    x = 1,016,134,561,225/651,098
  6. Step 6: Final answer
    x = 1,560,647.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.