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Finding the Third Proportional to 2,128,377 and 4,729,143

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Solution

The third proportional to 2,128,377 and 4,729,143 is: 10,507,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,377 : 4,729,143 = 4,729,143 : x
  2. Step 2: Convert to fraction form
    2,128,377/4,729,143 = 4,729,143/x
  3. Step 3: Cross multiply
    2,128,377x = 4,729,143 × 4,729,143
  4. Step 4: Simplify right side
    2,128,377x = 22,364,793,514,449
  5. Step 5: Solve for x
    x = 22,364,793,514,449/2,128,377
  6. Step 6: Final answer
    x = 10,507,909.79

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.