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Finding the Third Proportional to 871,146 and 1,306,719

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Solution

The third proportional to 871,146 and 1,306,719 is: 1,960,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,146 : 1,306,719 = 1,306,719 : x
  2. Step 2: Convert to fraction form
    871,146/1,306,719 = 1,306,719/x
  3. Step 3: Cross multiply
    871,146x = 1,306,719 × 1,306,719
  4. Step 4: Simplify right side
    871,146x = 1,707,514,544,961
  5. Step 5: Solve for x
    x = 1,707,514,544,961/871,146
  6. Step 6: Final answer
    x = 1,960,078.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.