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Finding the Third Proportional to 945,921 and 1,468,718

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Solution

The third proportional to 945,921 and 1,468,718 is: 2,280,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,921 : 1,468,718 = 1,468,718 : x
  2. Step 2: Convert to fraction form
    945,921/1,468,718 = 1,468,718/x
  3. Step 3: Cross multiply
    945,921x = 1,468,718 × 1,468,718
  4. Step 4: Simplify right side
    945,921x = 2,157,132,563,524
  5. Step 5: Solve for x
    x = 2,157,132,563,524/945,921
  6. Step 6: Final answer
    x = 2,280,457.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.