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Finding the Third Proportional to 574,848 and 1,177,344

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Solution

The third proportional to 574,848 and 1,177,344 is: 2,411,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,848 : 1,177,344 = 1,177,344 : x
  2. Step 2: Convert to fraction form
    574,848/1,177,344 = 1,177,344/x
  3. Step 3: Cross multiply
    574,848x = 1,177,344 × 1,177,344
  4. Step 4: Simplify right side
    574,848x = 1,386,138,894,336
  5. Step 5: Solve for x
    x = 1,386,138,894,336/574,848
  6. Step 6: Final answer
    x = 2,411,313.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.