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Finding the Third Proportional to 559,440 and 1,218,456

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Solution

The third proportional to 559,440 and 1,218,456 is: 2,653,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,440 : 1,218,456 = 1,218,456 : x
  2. Step 2: Convert to fraction form
    559,440/1,218,456 = 1,218,456/x
  3. Step 3: Cross multiply
    559,440x = 1,218,456 × 1,218,456
  4. Step 4: Simplify right side
    559,440x = 1,484,635,023,936
  5. Step 5: Solve for x
    x = 1,484,635,023,936/559,440
  6. Step 6: Final answer
    x = 2,653,787.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.