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Finding the Third Proportional to 582,156 and 934,736

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Solution

The third proportional to 582,156 and 934,736 is: 1,500,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,156 : 934,736 = 934,736 : x
  2. Step 2: Convert to fraction form
    582,156/934,736 = 934,736/x
  3. Step 3: Cross multiply
    582,156x = 934,736 × 934,736
  4. Step 4: Simplify right side
    582,156x = 873,731,389,696
  5. Step 5: Solve for x
    x = 873,731,389,696/582,156
  6. Step 6: Final answer
    x = 1,500,854.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.