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Finding the Third Proportional to 615,276 and 944,460

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Solution

The third proportional to 615,276 and 944,460 is: 1,449,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,276 : 944,460 = 944,460 : x
  2. Step 2: Convert to fraction form
    615,276/944,460 = 944,460/x
  3. Step 3: Cross multiply
    615,276x = 944,460 × 944,460
  4. Step 4: Simplify right side
    615,276x = 892,004,691,600
  5. Step 5: Solve for x
    x = 892,004,691,600/615,276
  6. Step 6: Final answer
    x = 1,449,763.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.