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Finding the Third Proportional to 3,000,614.06 and 4,287,807.84

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Solution

The third proportional to 3,000,614.06 and 4,287,807.84 is: 6,127,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,614.06 : 4,287,807.84 = 4,287,807.84 : x
  2. Step 2: Convert to fraction form
    3,000,614.06/4,287,807.84 = 4,287,807.84/x
  3. Step 3: Cross multiply
    3,000,614.06x = 4,287,807.84 × 4,287,807.84
  4. Step 4: Simplify right side
    3,000,614.06x = 18,385,296,104,924.02
  5. Step 5: Solve for x
    x = 18,385,296,104,924.02/3,000,614.06
  6. Step 6: Final answer
    x = 6,127,177.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.