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Finding the Third Proportional to 581,502 and 1,233,462

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Solution

The third proportional to 581,502 and 1,233,462 is: 2,616,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,502 : 1,233,462 = 1,233,462 : x
  2. Step 2: Convert to fraction form
    581,502/1,233,462 = 1,233,462/x
  3. Step 3: Cross multiply
    581,502x = 1,233,462 × 1,233,462
  4. Step 4: Simplify right side
    581,502x = 1,521,428,505,444
  5. Step 5: Solve for x
    x = 1,521,428,505,444/581,502
  6. Step 6: Final answer
    x = 2,616,377.08

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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.