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Finding the Third Proportional to 645,928.17 and 1,390,567.50

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Solution

The third proportional to 645,928.17 and 1,390,567.50 is: 2,993,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,928.17 : 1,390,567.50 = 1,390,567.50 : x
  2. Step 2: Convert to fraction form
    645,928.17/1,390,567.50 = 1,390,567.50/x
  3. Step 3: Cross multiply
    645,928.17x = 1,390,567.50 × 1,390,567.50
  4. Step 4: Simplify right side
    645,928.17x = 1,933,677,972,056.25
  5. Step 5: Solve for x
    x = 1,933,677,972,056.25/645,928.17
  6. Step 6: Final answer
    x = 2,993,642.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.