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Finding the Third Proportional to 558,512 and 1,205,584

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Solution

The third proportional to 558,512 and 1,205,584 is: 2,602,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,512 : 1,205,584 = 1,205,584 : x
  2. Step 2: Convert to fraction form
    558,512/1,205,584 = 1,205,584/x
  3. Step 3: Cross multiply
    558,512x = 1,205,584 × 1,205,584
  4. Step 4: Simplify right side
    558,512x = 1,453,432,781,056
  5. Step 5: Solve for x
    x = 1,453,432,781,056/558,512
  6. Step 6: Final answer
    x = 2,602,330.44

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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.