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Finding the Third Proportional to 948,476 and 1,387,215

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Solution

The third proportional to 948,476 and 1,387,215 is: 2,028,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,476 : 1,387,215 = 1,387,215 : x
  2. Step 2: Convert to fraction form
    948,476/1,387,215 = 1,387,215/x
  3. Step 3: Cross multiply
    948,476x = 1,387,215 × 1,387,215
  4. Step 4: Simplify right side
    948,476x = 1,924,365,456,225
  5. Step 5: Solve for x
    x = 1,924,365,456,225/948,476
  6. Step 6: Final answer
    x = 2,028,902.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.