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Finding the Third Proportional to 578,261 and 1,253,053

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Solution

The third proportional to 578,261 and 1,253,053 is: 2,715,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,261 : 1,253,053 = 1,253,053 : x
  2. Step 2: Convert to fraction form
    578,261/1,253,053 = 1,253,053/x
  3. Step 3: Cross multiply
    578,261x = 1,253,053 × 1,253,053
  4. Step 4: Simplify right side
    578,261x = 1,570,141,820,809
  5. Step 5: Solve for x
    x = 1,570,141,820,809/578,261
  6. Step 6: Final answer
    x = 2,715,282.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.