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Finding the Third Proportional to 1,865,533.78 and 3,955,257.84

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Solution

The third proportional to 1,865,533.78 and 3,955,257.84 is: 8,385,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,533.78 : 3,955,257.84 = 3,955,257.84 : x
  2. Step 2: Convert to fraction form
    1,865,533.78/3,955,257.84 = 3,955,257.84/x
  3. Step 3: Cross multiply
    1,865,533.78x = 3,955,257.84 × 3,955,257.84
  4. Step 4: Simplify right side
    1,865,533.78x = 15,644,064,610,545.90
  5. Step 5: Solve for x
    x = 15,644,064,610,545.90/1,865,533.78
  6. Step 6: Final answer
    x = 8,385,838.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.