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Finding the Third Proportional to 2,105,875.97 and 4,548,003.19

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Solution

The third proportional to 2,105,875.97 and 4,548,003.19 is: 9,822,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,875.97 : 4,548,003.19 = 4,548,003.19 : x
  2. Step 2: Convert to fraction form
    2,105,875.97/4,548,003.19 = 4,548,003.19/x
  3. Step 3: Cross multiply
    2,105,875.97x = 4,548,003.19 × 4,548,003.19
  4. Step 4: Simplify right side
    2,105,875.97x = 20,684,332,993,510.16
  5. Step 5: Solve for x
    x = 20,684,332,993,510.16/2,105,875.97
  6. Step 6: Final answer
    x = 9,822,199.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.