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Finding the Third Proportional to 596,121 and 896,625

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Solution

The third proportional to 596,121 and 896,625 is: 1,348,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,121 : 896,625 = 896,625 : x
  2. Step 2: Convert to fraction form
    596,121/896,625 = 896,625/x
  3. Step 3: Cross multiply
    596,121x = 896,625 × 896,625
  4. Step 4: Simplify right side
    596,121x = 803,936,390,625
  5. Step 5: Solve for x
    x = 803,936,390,625/596,121
  6. Step 6: Final answer
    x = 1,348,612.77

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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.