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Finding the Third Proportional to 1,834,531.50 and 4,316,538

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Solution

The third proportional to 1,834,531.50 and 4,316,538 is: 10,156,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,531.50 : 4,316,538 = 4,316,538 : x
  2. Step 2: Convert to fraction form
    1,834,531.50/4,316,538 = 4,316,538/x
  3. Step 3: Cross multiply
    1,834,531.50x = 4,316,538 × 4,316,538
  4. Step 4: Simplify right side
    1,834,531.50x = 18,632,500,305,444
  5. Step 5: Solve for x
    x = 18,632,500,305,444/1,834,531.50
  6. Step 6: Final answer
    x = 10,156,544.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.