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Finding the Third Proportional to 731,870.44 and 1,142,069.63

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Solution

The third proportional to 731,870.44 and 1,142,069.63 is: 1,782,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,870.44 : 1,142,069.63 = 1,142,069.63 : x
  2. Step 2: Convert to fraction form
    731,870.44/1,142,069.63 = 1,142,069.63/x
  3. Step 3: Cross multiply
    731,870.44x = 1,142,069.63 × 1,142,069.63
  4. Step 4: Simplify right side
    731,870.44x = 1,304,323,028,347.64
  5. Step 5: Solve for x
    x = 1,304,323,028,347.64/731,870.44
  6. Step 6: Final answer
    x = 1,782,177.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.