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Finding the Third Proportional to 581,500 and 1,232,058

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Solution

The third proportional to 581,500 and 1,232,058 is: 2,610,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,500 : 1,232,058 = 1,232,058 : x
  2. Step 2: Convert to fraction form
    581,500/1,232,058 = 1,232,058/x
  3. Step 3: Cross multiply
    581,500x = 1,232,058 × 1,232,058
  4. Step 4: Simplify right side
    581,500x = 1,517,966,915,364
  5. Step 5: Solve for x
    x = 1,517,966,915,364/581,500
  6. Step 6: Final answer
    x = 2,610,433.22

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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.