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Finding the Third Proportional to 753,831.56 and 1,643,211.56

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Solution

The third proportional to 753,831.56 and 1,643,211.56 is: 3,581,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,831.56 : 1,643,211.56 = 1,643,211.56 : x
  2. Step 2: Convert to fraction form
    753,831.56/1,643,211.56 = 1,643,211.56/x
  3. Step 3: Cross multiply
    753,831.56x = 1,643,211.56 × 1,643,211.56
  4. Step 4: Simplify right side
    753,831.56x = 2,700,144,239,133.69
  5. Step 5: Solve for x
    x = 2,700,144,239,133.69/753,831.56
  6. Step 6: Final answer
    x = 3,581,893.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.