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Finding the Third Proportional to 581,496 and 1,232,050

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Solution

The third proportional to 581,496 and 1,232,050 is: 2,610,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,496 : 1,232,050 = 1,232,050 : x
  2. Step 2: Convert to fraction form
    581,496/1,232,050 = 1,232,050/x
  3. Step 3: Cross multiply
    581,496x = 1,232,050 × 1,232,050
  4. Step 4: Simplify right side
    581,496x = 1,517,947,202,500
  5. Step 5: Solve for x
    x = 1,517,947,202,500/581,496
  6. Step 6: Final answer
    x = 2,610,417.27

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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.