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Finding the Third Proportional to 581,588 and 1,252,264

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Solution

The third proportional to 581,588 and 1,252,264 is: 2,696,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,588 : 1,252,264 = 1,252,264 : x
  2. Step 2: Convert to fraction form
    581,588/1,252,264 = 1,252,264/x
  3. Step 3: Cross multiply
    581,588x = 1,252,264 × 1,252,264
  4. Step 4: Simplify right side
    581,588x = 1,568,165,125,696
  5. Step 5: Solve for x
    x = 1,568,165,125,696/581,588
  6. Step 6: Final answer
    x = 2,696,350.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.