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Finding the Third Proportional to 581,499 and 1,233,447.75

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Solution

The third proportional to 581,499 and 1,233,447.75 is: 2,616,330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,499 : 1,233,447.75 = 1,233,447.75 : x
  2. Step 2: Convert to fraction form
    581,499/1,233,447.75 = 1,233,447.75/x
  3. Step 3: Cross multiply
    581,499x = 1,233,447.75 × 1,233,447.75
  4. Step 4: Simplify right side
    581,499x = 1,521,393,351,980.06
  5. Step 5: Solve for x
    x = 1,521,393,351,980.06/581,499
  6. Step 6: Final answer
    x = 2,616,330.13

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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.