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Finding the Third Proportional to 558,624 and 1,205,808

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Solution

The third proportional to 558,624 and 1,205,808 is: 2,602,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,624 : 1,205,808 = 1,205,808 : x
  2. Step 2: Convert to fraction form
    558,624/1,205,808 = 1,205,808/x
  3. Step 3: Cross multiply
    558,624x = 1,205,808 × 1,205,808
  4. Step 4: Simplify right side
    558,624x = 1,453,972,932,864
  5. Step 5: Solve for x
    x = 1,453,972,932,864/558,624
  6. Step 6: Final answer
    x = 2,602,775.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.