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Finding the Third Proportional to 558,598 and 1,205,756

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Solution

The third proportional to 558,598 and 1,205,756 is: 2,602,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,598 : 1,205,756 = 1,205,756 : x
  2. Step 2: Convert to fraction form
    558,598/1,205,756 = 1,205,756/x
  3. Step 3: Cross multiply
    558,598x = 1,205,756 × 1,205,756
  4. Step 4: Simplify right side
    558,598x = 1,453,847,531,536
  5. Step 5: Solve for x
    x = 1,453,847,531,536/558,598
  6. Step 6: Final answer
    x = 2,602,672.28

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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.