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Finding the Third Proportional to 945,356 and 1,418,722

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Solution

The third proportional to 945,356 and 1,418,722 is: 2,129,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,356 : 1,418,722 = 1,418,722 : x
  2. Step 2: Convert to fraction form
    945,356/1,418,722 = 1,418,722/x
  3. Step 3: Cross multiply
    945,356x = 1,418,722 × 1,418,722
  4. Step 4: Simplify right side
    945,356x = 2,012,772,113,284
  5. Step 5: Solve for x
    x = 2,012,772,113,284/945,356
  6. Step 6: Final answer
    x = 2,129,115.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.