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Finding the Third Proportional to 719,754.19 and 1,574,692.31

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Solution

The third proportional to 719,754.19 and 1,574,692.31 is: 3,445,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,754.19 : 1,574,692.31 = 1,574,692.31 : x
  2. Step 2: Convert to fraction form
    719,754.19/1,574,692.31 = 1,574,692.31/x
  3. Step 3: Cross multiply
    719,754.19x = 1,574,692.31 × 1,574,692.31
  4. Step 4: Simplify right side
    719,754.19x = 2,479,655,879,046.60
  5. Step 5: Solve for x
    x = 2,479,655,879,046.60/719,754.19
  6. Step 6: Final answer
    x = 3,445,142.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.