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Finding the Third Proportional to 915,968 and 1,984,408

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Solution

The third proportional to 915,968 and 1,984,408 is: 4,299,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,968 : 1,984,408 = 1,984,408 : x
  2. Step 2: Convert to fraction form
    915,968/1,984,408 = 1,984,408/x
  3. Step 3: Cross multiply
    915,968x = 1,984,408 × 1,984,408
  4. Step 4: Simplify right side
    915,968x = 3,937,875,110,464
  5. Step 5: Solve for x
    x = 3,937,875,110,464/915,968
  6. Step 6: Final answer
    x = 4,299,140.48

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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.