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Finding the Third Proportional to 581,498 and 1,232,054

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Solution

The third proportional to 581,498 and 1,232,054 is: 2,610,425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,498 : 1,232,054 = 1,232,054 : x
  2. Step 2: Convert to fraction form
    581,498/1,232,054 = 1,232,054/x
  3. Step 3: Cross multiply
    581,498x = 1,232,054 × 1,232,054
  4. Step 4: Simplify right side
    581,498x = 1,517,957,058,916
  5. Step 5: Solve for x
    x = 1,517,957,058,916/581,498
  6. Step 6: Final answer
    x = 2,610,425.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.