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Finding the Third Proportional to 870,938 and 1,776,867.50

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Solution

The third proportional to 870,938 and 1,776,867.50 is: 3,625,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,938 : 1,776,867.50 = 1,776,867.50 : x
  2. Step 2: Convert to fraction form
    870,938/1,776,867.50 = 1,776,867.50/x
  3. Step 3: Cross multiply
    870,938x = 1,776,867.50 × 1,776,867.50
  4. Step 4: Simplify right side
    870,938x = 3,157,258,112,556.25
  5. Step 5: Solve for x
    x = 3,157,258,112,556.25/870,938
  6. Step 6: Final answer
    x = 3,625,123.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.