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Finding the Third Proportional to 466,200.75 and 1,019,068.13

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Solution

The third proportional to 466,200.75 and 1,019,068.13 is: 2,227,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,200.75 : 1,019,068.13 = 1,019,068.13 : x
  2. Step 2: Convert to fraction form
    466,200.75/1,019,068.13 = 1,019,068.13/x
  3. Step 3: Cross multiply
    466,200.75x = 1,019,068.13 × 1,019,068.13
  4. Step 4: Simplify right side
    466,200.75x = 1,038,499,843,391.02
  5. Step 5: Solve for x
    x = 1,038,499,843,391.02/466,200.75
  6. Step 6: Final answer
    x = 2,227,580.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.