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Finding the Third Proportional to 595,320 and 906,956

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Solution

The third proportional to 595,320 and 906,956 is: 1,381,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,320 : 906,956 = 906,956 : x
  2. Step 2: Convert to fraction form
    595,320/906,956 = 906,956/x
  3. Step 3: Cross multiply
    595,320x = 906,956 × 906,956
  4. Step 4: Simplify right side
    595,320x = 822,569,185,936
  5. Step 5: Solve for x
    x = 822,569,185,936/595,320
  6. Step 6: Final answer
    x = 1,381,726.11

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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.