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Finding the Third Proportional to 945,044 and 1,452,566

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Solution

The third proportional to 945,044 and 1,452,566 is: 2,232,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,044 : 1,452,566 = 1,452,566 : x
  2. Step 2: Convert to fraction form
    945,044/1,452,566 = 1,452,566/x
  3. Step 3: Cross multiply
    945,044x = 1,452,566 × 1,452,566
  4. Step 4: Simplify right side
    945,044x = 2,109,947,984,356
  5. Step 5: Solve for x
    x = 2,109,947,984,356/945,044
  6. Step 6: Final answer
    x = 2,232,645.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.