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Finding the Third Proportional to 969,388 and 2,070,729

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Solution

The third proportional to 969,388 and 2,070,729 is: 4,423,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,388 : 2,070,729 = 2,070,729 : x
  2. Step 2: Convert to fraction form
    969,388/2,070,729 = 2,070,729/x
  3. Step 3: Cross multiply
    969,388x = 2,070,729 × 2,070,729
  4. Step 4: Simplify right side
    969,388x = 4,287,918,591,441
  5. Step 5: Solve for x
    x = 4,287,918,591,441/969,388
  6. Step 6: Final answer
    x = 4,423,325.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.