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Finding the Third Proportional to 2,000,041.88 and 3,177,209.81

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Solution

The third proportional to 2,000,041.88 and 3,177,209.81 is: 5,047,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,041.88 : 3,177,209.81 = 3,177,209.81 : x
  2. Step 2: Convert to fraction form
    2,000,041.88/3,177,209.81 = 3,177,209.81/x
  3. Step 3: Cross multiply
    2,000,041.88x = 3,177,209.81 × 3,177,209.81
  4. Step 4: Simplify right side
    2,000,041.88x = 10,094,662,192,646.29
  5. Step 5: Solve for x
    x = 10,094,662,192,646.29/2,000,041.88
  6. Step 6: Final answer
    x = 5,047,225.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.