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Finding the Third Proportional to 905,098.50 and 1,341,982.50

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Solution

The third proportional to 905,098.50 and 1,341,982.50 is: 1,989,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,098.50 : 1,341,982.50 = 1,341,982.50 : x
  2. Step 2: Convert to fraction form
    905,098.50/1,341,982.50 = 1,341,982.50/x
  3. Step 3: Cross multiply
    905,098.50x = 1,341,982.50 × 1,341,982.50
  4. Step 4: Simplify right side
    905,098.50x = 1,800,917,030,306.25
  5. Step 5: Solve for x
    x = 1,800,917,030,306.25/905,098.50
  6. Step 6: Final answer
    x = 1,989,747.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.