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Finding the Third Proportional to 896,987 and 1,426,400

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Solution

The third proportional to 896,987 and 1,426,400 is: 2,268,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,987 : 1,426,400 = 1,426,400 : x
  2. Step 2: Convert to fraction form
    896,987/1,426,400 = 1,426,400/x
  3. Step 3: Cross multiply
    896,987x = 1,426,400 × 1,426,400
  4. Step 4: Simplify right side
    896,987x = 2,034,616,960,000
  5. Step 5: Solve for x
    x = 2,034,616,960,000/896,987
  6. Step 6: Final answer
    x = 2,268,279.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.