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Finding the Third Proportional to 945,277 and 1,418,607

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Solution

The third proportional to 945,277 and 1,418,607 is: 2,128,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,277 : 1,418,607 = 1,418,607 : x
  2. Step 2: Convert to fraction form
    945,277/1,418,607 = 1,418,607/x
  3. Step 3: Cross multiply
    945,277x = 1,418,607 × 1,418,607
  4. Step 4: Simplify right side
    945,277x = 2,012,445,820,449
  5. Step 5: Solve for x
    x = 2,012,445,820,449/945,277
  6. Step 6: Final answer
    x = 2,128,948.26

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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.