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Finding the Third Proportional to 803,236 and 1,070,861

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Solution

The third proportional to 803,236 and 1,070,861 is: 1,427,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,236 : 1,070,861 = 1,070,861 : x
  2. Step 2: Convert to fraction form
    803,236/1,070,861 = 1,070,861/x
  3. Step 3: Cross multiply
    803,236x = 1,070,861 × 1,070,861
  4. Step 4: Simplify right side
    803,236x = 1,146,743,281,321
  5. Step 5: Solve for x
    x = 1,146,743,281,321/803,236
  6. Step 6: Final answer
    x = 1,427,654.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.