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Finding the Third Proportional to 645,975 and 1,414,584

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Solution

The third proportional to 645,975 and 1,414,584 is: 3,097,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,975 : 1,414,584 = 1,414,584 : x
  2. Step 2: Convert to fraction form
    645,975/1,414,584 = 1,414,584/x
  3. Step 3: Cross multiply
    645,975x = 1,414,584 × 1,414,584
  4. Step 4: Simplify right side
    645,975x = 2,001,047,893,056
  5. Step 5: Solve for x
    x = 2,001,047,893,056/645,975
  6. Step 6: Final answer
    x = 3,097,717.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.