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Finding the Third Proportional to 2,157,408 and 4,691,328

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Solution

The third proportional to 2,157,408 and 4,691,328 is: 10,201,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157,408 : 4,691,328 = 4,691,328 : x
  2. Step 2: Convert to fraction form
    2,157,408/4,691,328 = 4,691,328/x
  3. Step 3: Cross multiply
    2,157,408x = 4,691,328 × 4,691,328
  4. Step 4: Simplify right side
    2,157,408x = 22,008,558,403,584
  5. Step 5: Solve for x
    x = 22,008,558,403,584/2,157,408
  6. Step 6: Final answer
    x = 10,201,389.08

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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.