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Finding the Third Proportional to 1,120,422.50 and 1,693,973.50

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Solution

The third proportional to 1,120,422.50 and 1,693,973.50 is: 2,561,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120,422.50 : 1,693,973.50 = 1,693,973.50 : x
  2. Step 2: Convert to fraction form
    1,120,422.50/1,693,973.50 = 1,693,973.50/x
  3. Step 3: Cross multiply
    1,120,422.50x = 1,693,973.50 × 1,693,973.50
  4. Step 4: Simplify right side
    1,120,422.50x = 2,869,546,218,702.25
  5. Step 5: Solve for x
    x = 2,869,546,218,702.25/1,120,422.50
  6. Step 6: Final answer
    x = 2,561,128.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.