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Finding the Third Proportional to 2,129,291 and 4,617,948

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Solution

The third proportional to 2,129,291 and 4,617,948 is: 10,015,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,291 : 4,617,948 = 4,617,948 : x
  2. Step 2: Convert to fraction form
    2,129,291/4,617,948 = 4,617,948/x
  3. Step 3: Cross multiply
    2,129,291x = 4,617,948 × 4,617,948
  4. Step 4: Simplify right side
    2,129,291x = 21,325,443,730,704
  5. Step 5: Solve for x
    x = 21,325,443,730,704/2,129,291
  6. Step 6: Final answer
    x = 10,015,279.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.