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Finding the Third Proportional to 2,112,345 and 4,561,397

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Solution

The third proportional to 2,112,345 and 4,561,397 is: 9,849,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112,345 : 4,561,397 = 4,561,397 : x
  2. Step 2: Convert to fraction form
    2,112,345/4,561,397 = 4,561,397/x
  3. Step 3: Cross multiply
    2,112,345x = 4,561,397 × 4,561,397
  4. Step 4: Simplify right side
    2,112,345x = 20,806,342,591,609
  5. Step 5: Solve for x
    x = 20,806,342,591,609/2,112,345
  6. Step 6: Final answer
    x = 9,849,878.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.