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Finding the Third Proportional to 912,984 and 1,970,328

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Solution

The third proportional to 912,984 and 1,970,328 is: 4,252,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,984 : 1,970,328 = 1,970,328 : x
  2. Step 2: Convert to fraction form
    912,984/1,970,328 = 1,970,328/x
  3. Step 3: Cross multiply
    912,984x = 1,970,328 × 1,970,328
  4. Step 4: Simplify right side
    912,984x = 3,882,192,427,584
  5. Step 5: Solve for x
    x = 3,882,192,427,584/912,984
  6. Step 6: Final answer
    x = 4,252,202.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.