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Finding the Third Proportional to 1,257,437.25 and 1,994,373.38

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Solution

The third proportional to 1,257,437.25 and 1,994,373.38 is: 3,163,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,437.25 : 1,994,373.38 = 1,994,373.38 : x
  2. Step 2: Convert to fraction form
    1,257,437.25/1,994,373.38 = 1,994,373.38/x
  3. Step 3: Cross multiply
    1,257,437.25x = 1,994,373.38 × 1,994,373.38
  4. Step 4: Simplify right side
    1,257,437.25x = 3,977,525,158,908.89
  5. Step 5: Solve for x
    x = 3,977,525,158,908.89/1,257,437.25
  6. Step 6: Final answer
    x = 3,163,199.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.