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Finding the Third Proportional to 580,494 and 896,620

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Solution

The third proportional to 580,494 and 896,620 is: 1,384,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,494 : 896,620 = 896,620 : x
  2. Step 2: Convert to fraction form
    580,494/896,620 = 896,620/x
  3. Step 3: Cross multiply
    580,494x = 896,620 × 896,620
  4. Step 4: Simplify right side
    580,494x = 803,927,424,400
  5. Step 5: Solve for x
    x = 803,927,424,400/580,494
  6. Step 6: Final answer
    x = 1,384,902.21

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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.