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Finding the Third Proportional to 896,806 and 1,310,719

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Solution

The third proportional to 896,806 and 1,310,719 is: 1,915,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,806 : 1,310,719 = 1,310,719 : x
  2. Step 2: Convert to fraction form
    896,806/1,310,719 = 1,310,719/x
  3. Step 3: Cross multiply
    896,806x = 1,310,719 × 1,310,719
  4. Step 4: Simplify right side
    896,806x = 1,717,984,296,961
  5. Step 5: Solve for x
    x = 1,717,984,296,961/896,806
  6. Step 6: Final answer
    x = 1,915,669.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.