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Finding the Third Proportional to 870,243.75 and 2,057,648.06

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Solution

The third proportional to 870,243.75 and 2,057,648.06 is: 4,865,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,243.75 : 2,057,648.06 = 2,057,648.06 : x
  2. Step 2: Convert to fraction form
    870,243.75/2,057,648.06 = 2,057,648.06/x
  3. Step 3: Cross multiply
    870,243.75x = 2,057,648.06 × 2,057,648.06
  4. Step 4: Simplify right side
    870,243.75x = 4,233,915,549,110.00
  5. Step 5: Solve for x
    x = 4,233,915,549,110.00/870,243.75
  6. Step 6: Final answer
    x = 4,865,206.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.