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Finding the Third Proportional to 2,118,320 and 4,539,872

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Solution

The third proportional to 2,118,320 and 4,539,872 is: 9,729,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,320 : 4,539,872 = 4,539,872 : x
  2. Step 2: Convert to fraction form
    2,118,320/4,539,872 = 4,539,872/x
  3. Step 3: Cross multiply
    2,118,320x = 4,539,872 × 4,539,872
  4. Step 4: Simplify right side
    2,118,320x = 20,610,437,776,384
  5. Step 5: Solve for x
    x = 20,610,437,776,384/2,118,320
  6. Step 6: Final answer
    x = 9,729,614.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.