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Finding the Third Proportional to 584,112 and 1,267,376

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Solution

The third proportional to 584,112 and 1,267,376 is: 2,749,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,112 : 1,267,376 = 1,267,376 : x
  2. Step 2: Convert to fraction form
    584,112/1,267,376 = 1,267,376/x
  3. Step 3: Cross multiply
    584,112x = 1,267,376 × 1,267,376
  4. Step 4: Simplify right side
    584,112x = 1,606,241,925,376
  5. Step 5: Solve for x
    x = 1,606,241,925,376/584,112
  6. Step 6: Final answer
    x = 2,749,886.88

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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.