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Finding the Third Proportional to 969,390 and 2,070,733

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Solution

The third proportional to 969,390 and 2,070,733 is: 4,423,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,390 : 2,070,733 = 2,070,733 : x
  2. Step 2: Convert to fraction form
    969,390/2,070,733 = 2,070,733/x
  3. Step 3: Cross multiply
    969,390x = 2,070,733 × 2,070,733
  4. Step 4: Simplify right side
    969,390x = 4,287,935,157,289
  5. Step 5: Solve for x
    x = 4,287,935,157,289/969,390
  6. Step 6: Final answer
    x = 4,423,333.39

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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.