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Finding the Third Proportional to 2,098,725.50 and 4,449,665.07

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Solution

The third proportional to 2,098,725.50 and 4,449,665.07 is: 9,434,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,725.50 : 4,449,665.07 = 4,449,665.07 : x
  2. Step 2: Convert to fraction form
    2,098,725.50/4,449,665.07 = 4,449,665.07/x
  3. Step 3: Cross multiply
    2,098,725.50x = 4,449,665.07 × 4,449,665.07
  4. Step 4: Simplify right side
    2,098,725.50x = 19,799,519,272,722.60
  5. Step 5: Solve for x
    x = 19,799,519,272,722.60/2,098,725.50
  6. Step 6: Final answer
    x = 9,434,068.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.