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Finding the Third Proportional to 1,073,047.50 and 2,332,465.88

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Solution

The third proportional to 1,073,047.50 and 2,332,465.88 is: 5,070,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,047.50 : 2,332,465.88 = 2,332,465.88 : x
  2. Step 2: Convert to fraction form
    1,073,047.50/2,332,465.88 = 2,332,465.88/x
  3. Step 3: Cross multiply
    1,073,047.50x = 2,332,465.88 × 2,332,465.88
  4. Step 4: Simplify right side
    1,073,047.50x = 5,440,397,058,039.52
  5. Step 5: Solve for x
    x = 5,440,397,058,039.52/1,073,047.50
  6. Step 6: Final answer
    x = 5,070,043.09

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