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Finding the Third Proportional to 826,582.50 and 1,791,102

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Solution

The third proportional to 826,582.50 and 1,791,102 is: 3,881,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,582.50 : 1,791,102 = 1,791,102 : x
  2. Step 2: Convert to fraction form
    826,582.50/1,791,102 = 1,791,102/x
  3. Step 3: Cross multiply
    826,582.50x = 1,791,102 × 1,791,102
  4. Step 4: Simplify right side
    826,582.50x = 3,208,046,374,404
  5. Step 5: Solve for x
    x = 3,208,046,374,404/826,582.50
  6. Step 6: Final answer
    x = 3,881,096.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.