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Finding the Third Proportional to 898,998 and 1,931,400

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Solution

The third proportional to 898,998 and 1,931,400 is: 4,149,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,998 : 1,931,400 = 1,931,400 : x
  2. Step 2: Convert to fraction form
    898,998/1,931,400 = 1,931,400/x
  3. Step 3: Cross multiply
    898,998x = 1,931,400 × 1,931,400
  4. Step 4: Simplify right side
    898,998x = 3,730,305,960,000
  5. Step 5: Solve for x
    x = 3,730,305,960,000/898,998
  6. Step 6: Final answer
    x = 4,149,404.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.