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Finding the Third Proportional to 897,446.25 and 1,346,827.50

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Solution

The third proportional to 897,446.25 and 1,346,827.50 is: 2,021,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,446.25 : 1,346,827.50 = 1,346,827.50 : x
  2. Step 2: Convert to fraction form
    897,446.25/1,346,827.50 = 1,346,827.50/x
  3. Step 3: Cross multiply
    897,446.25x = 1,346,827.50 × 1,346,827.50
  4. Step 4: Simplify right side
    897,446.25x = 1,813,944,314,756.25
  5. Step 5: Solve for x
    x = 1,813,944,314,756.25/897,446.25
  6. Step 6: Final answer
    x = 2,021,228.92

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