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Finding the Third Proportional to 645,816 and 1,407,884

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Solution

The third proportional to 645,816 and 1,407,884 is: 3,069,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,816 : 1,407,884 = 1,407,884 : x
  2. Step 2: Convert to fraction form
    645,816/1,407,884 = 1,407,884/x
  3. Step 3: Cross multiply
    645,816x = 1,407,884 × 1,407,884
  4. Step 4: Simplify right side
    645,816x = 1,982,137,357,456
  5. Step 5: Solve for x
    x = 1,982,137,357,456/645,816
  6. Step 6: Final answer
    x = 3,069,198.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.