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Finding the Third Proportional to 557,584 and 1,207,328

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Solution

The third proportional to 557,584 and 1,207,328 is: 2,614,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,584 : 1,207,328 = 1,207,328 : x
  2. Step 2: Convert to fraction form
    557,584/1,207,328 = 1,207,328/x
  3. Step 3: Cross multiply
    557,584x = 1,207,328 × 1,207,328
  4. Step 4: Simplify right side
    557,584x = 1,457,640,899,584
  5. Step 5: Solve for x
    x = 1,457,640,899,584/557,584
  6. Step 6: Final answer
    x = 2,614,208.62

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