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Finding the Third Proportional to 427,449 and 928,978

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Solution

The third proportional to 427,449 and 928,978 is: 2,018,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,449 : 928,978 = 928,978 : x
  2. Step 2: Convert to fraction form
    427,449/928,978 = 928,978/x
  3. Step 3: Cross multiply
    427,449x = 928,978 × 928,978
  4. Step 4: Simplify right side
    427,449x = 863,000,124,484
  5. Step 5: Solve for x
    x = 863,000,124,484/427,449
  6. Step 6: Final answer
    x = 2,018,954.60

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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.