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Finding the Third Proportional to 996,327 and 1,506,285

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Solution

The third proportional to 996,327 and 1,506,285 is: 2,277,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,327 : 1,506,285 = 1,506,285 : x
  2. Step 2: Convert to fraction form
    996,327/1,506,285 = 1,506,285/x
  3. Step 3: Cross multiply
    996,327x = 1,506,285 × 1,506,285
  4. Step 4: Simplify right side
    996,327x = 2,268,894,501,225
  5. Step 5: Solve for x
    x = 2,268,894,501,225/996,327
  6. Step 6: Final answer
    x = 2,277,258.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.