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Finding the Third Proportional to 834,831.56 and 1,698,818.06

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Solution

The third proportional to 834,831.56 and 1,698,818.06 is: 3,456,964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,831.56 : 1,698,818.06 = 1,698,818.06 : x
  2. Step 2: Convert to fraction form
    834,831.56/1,698,818.06 = 1,698,818.06/x
  3. Step 3: Cross multiply
    834,831.56x = 1,698,818.06 × 1,698,818.06
  4. Step 4: Simplify right side
    834,831.56x = 2,885,982,809,476.25
  5. Step 5: Solve for x
    x = 2,885,982,809,476.25/834,831.56
  6. Step 6: Final answer
    x = 3,456,964.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.