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Finding the Third Proportional to 687,127.50 and 1,496,241

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Solution

The third proportional to 687,127.50 and 1,496,241 is: 3,258,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,127.50 : 1,496,241 = 1,496,241 : x
  2. Step 2: Convert to fraction form
    687,127.50/1,496,241 = 1,496,241/x
  3. Step 3: Cross multiply
    687,127.50x = 1,496,241 × 1,496,241
  4. Step 4: Simplify right side
    687,127.50x = 2,238,737,130,081
  5. Step 5: Solve for x
    x = 2,238,737,130,081/687,127.50
  6. Step 6: Final answer
    x = 3,258,110.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.