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Finding the Third Proportional to 2,374,814 and 5,600,453

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Solution

The third proportional to 2,374,814 and 5,600,453 is: 13,207,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374,814 : 5,600,453 = 5,600,453 : x
  2. Step 2: Convert to fraction form
    2,374,814/5,600,453 = 5,600,453/x
  3. Step 3: Cross multiply
    2,374,814x = 5,600,453 × 5,600,453
  4. Step 4: Simplify right side
    2,374,814x = 31,365,073,805,209
  5. Step 5: Solve for x
    x = 31,365,073,805,209/2,374,814
  6. Step 6: Final answer
    x = 13,207,381.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.