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Finding the Third Proportional to 2,407,253 and 5,193,681

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Solution

The third proportional to 2,407,253 and 5,193,681 is: 11,205,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,253 : 5,193,681 = 5,193,681 : x
  2. Step 2: Convert to fraction form
    2,407,253/5,193,681 = 5,193,681/x
  3. Step 3: Cross multiply
    2,407,253x = 5,193,681 × 5,193,681
  4. Step 4: Simplify right side
    2,407,253x = 26,974,322,329,761
  5. Step 5: Solve for x
    x = 26,974,322,329,761/2,407,253
  6. Step 6: Final answer
    x = 11,205,437.21

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Why These Related Problems?

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