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Finding the Third Proportional to 580,612 and 896,808

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Solution

The third proportional to 580,612 and 896,808 is: 1,385,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,612 : 896,808 = 896,808 : x
  2. Step 2: Convert to fraction form
    580,612/896,808 = 896,808/x
  3. Step 3: Cross multiply
    580,612x = 896,808 × 896,808
  4. Step 4: Simplify right side
    580,612x = 804,264,588,864
  5. Step 5: Solve for x
    x = 804,264,588,864/580,612
  6. Step 6: Final answer
    x = 1,385,201.46

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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.