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Finding the Third Proportional to 654,988.50 and 1,041,534

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Solution

The third proportional to 654,988.50 and 1,041,534 is: 1,656,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,988.50 : 1,041,534 = 1,041,534 : x
  2. Step 2: Convert to fraction form
    654,988.50/1,041,534 = 1,041,534/x
  3. Step 3: Cross multiply
    654,988.50x = 1,041,534 × 1,041,534
  4. Step 4: Simplify right side
    654,988.50x = 1,084,793,073,156
  5. Step 5: Solve for x
    x = 1,084,793,073,156/654,988.50
  6. Step 6: Final answer
    x = 1,656,201.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.