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Finding the Third Proportional to 969,498 and 2,070,972

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Solution

The third proportional to 969,498 and 2,070,972 is: 4,423,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,498 : 2,070,972 = 2,070,972 : x
  2. Step 2: Convert to fraction form
    969,498/2,070,972 = 2,070,972/x
  3. Step 3: Cross multiply
    969,498x = 2,070,972 × 2,070,972
  4. Step 4: Simplify right side
    969,498x = 4,288,925,024,784
  5. Step 5: Solve for x
    x = 4,288,925,024,784/969,498
  6. Step 6: Final answer
    x = 4,423,861.65

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