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Finding the Third Proportional to 1,234,643.50 and 1,855,252.50

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Solution

The third proportional to 1,234,643.50 and 1,855,252.50 is: 2,787,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,643.50 : 1,855,252.50 = 1,855,252.50 : x
  2. Step 2: Convert to fraction form
    1,234,643.50/1,855,252.50 = 1,855,252.50/x
  3. Step 3: Cross multiply
    1,234,643.50x = 1,855,252.50 × 1,855,252.50
  4. Step 4: Simplify right side
    1,234,643.50x = 3,441,961,838,756.25
  5. Step 5: Solve for x
    x = 3,441,961,838,756.25/1,234,643.50
  6. Step 6: Final answer
    x = 2,787,818.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.