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Finding the Third Proportional to 477,619.50 and 1,038,102

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Solution

The third proportional to 477,619.50 and 1,038,102 is: 2,256,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,619.50 : 1,038,102 = 1,038,102 : x
  2. Step 2: Convert to fraction form
    477,619.50/1,038,102 = 1,038,102/x
  3. Step 3: Cross multiply
    477,619.50x = 1,038,102 × 1,038,102
  4. Step 4: Simplify right side
    477,619.50x = 1,077,655,762,404
  5. Step 5: Solve for x
    x = 1,077,655,762,404/477,619.50
  6. Step 6: Final answer
    x = 2,256,306.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.