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Finding the Third Proportional to 948,246.75 and 2,053,957.50

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Solution

The third proportional to 948,246.75 and 2,053,957.50 is: 4,448,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,246.75 : 2,053,957.50 = 2,053,957.50 : x
  2. Step 2: Convert to fraction form
    948,246.75/2,053,957.50 = 2,053,957.50/x
  3. Step 3: Cross multiply
    948,246.75x = 2,053,957.50 × 2,053,957.50
  4. Step 4: Simplify right side
    948,246.75x = 4,218,741,411,806.25
  5. Step 5: Solve for x
    x = 4,218,741,411,806.25/948,246.75
  6. Step 6: Final answer
    x = 4,448,991.16

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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.