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Finding the Third Proportional to 595,062 and 906,536

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Solution

The third proportional to 595,062 and 906,536 is: 1,381,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,062 : 906,536 = 906,536 : x
  2. Step 2: Convert to fraction form
    595,062/906,536 = 906,536/x
  3. Step 3: Cross multiply
    595,062x = 906,536 × 906,536
  4. Step 4: Simplify right side
    595,062x = 821,807,519,296
  5. Step 5: Solve for x
    x = 821,807,519,296/595,062
  6. Step 6: Final answer
    x = 1,381,045.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.