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Finding the Third Proportional to 867,885.75 and 1,778,053.50

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Solution

The third proportional to 867,885.75 and 1,778,053.50 is: 3,642,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,885.75 : 1,778,053.50 = 1,778,053.50 : x
  2. Step 2: Convert to fraction form
    867,885.75/1,778,053.50 = 1,778,053.50/x
  3. Step 3: Cross multiply
    867,885.75x = 1,778,053.50 × 1,778,053.50
  4. Step 4: Simplify right side
    867,885.75x = 3,161,474,248,862.25
  5. Step 5: Solve for x
    x = 3,161,474,248,862.25/867,885.75
  6. Step 6: Final answer
    x = 3,642,730.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.