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Finding the Third Proportional to 2,158,407 and 4,615,893

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Solution

The third proportional to 2,158,407 and 4,615,893 is: 9,871,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158,407 : 4,615,893 = 4,615,893 : x
  2. Step 2: Convert to fraction form
    2,158,407/4,615,893 = 4,615,893/x
  3. Step 3: Cross multiply
    2,158,407x = 4,615,893 × 4,615,893
  4. Step 4: Simplify right side
    2,158,407x = 21,306,468,187,449
  5. Step 5: Solve for x
    x = 21,306,468,187,449/2,158,407
  6. Step 6: Final answer
    x = 9,871,385.79

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