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Finding the Third Proportional to 559,444 and 1,218,464

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Solution

The third proportional to 559,444 and 1,218,464 is: 2,653,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,444 : 1,218,464 = 1,218,464 : x
  2. Step 2: Convert to fraction form
    559,444/1,218,464 = 1,218,464/x
  3. Step 3: Cross multiply
    559,444x = 1,218,464 × 1,218,464
  4. Step 4: Simplify right side
    559,444x = 1,484,654,519,296
  5. Step 5: Solve for x
    x = 1,484,654,519,296/559,444
  6. Step 6: Final answer
    x = 2,653,803.63

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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.