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Finding the Third Proportional to 897,885 and 1,952,869.50

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Solution

The third proportional to 897,885 and 1,952,869.50 is: 4,247,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,885 : 1,952,869.50 = 1,952,869.50 : x
  2. Step 2: Convert to fraction form
    897,885/1,952,869.50 = 1,952,869.50/x
  3. Step 3: Cross multiply
    897,885x = 1,952,869.50 × 1,952,869.50
  4. Step 4: Simplify right side
    897,885x = 3,813,699,284,030.25
  5. Step 5: Solve for x
    x = 3,813,699,284,030.25/897,885
  6. Step 6: Final answer
    x = 4,247,425.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.