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Finding the Third Proportional to 803,077 and 1,070,654

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Solution

The third proportional to 803,077 and 1,070,654 is: 1,427,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,077 : 1,070,654 = 1,070,654 : x
  2. Step 2: Convert to fraction form
    803,077/1,070,654 = 1,070,654/x
  3. Step 3: Cross multiply
    803,077x = 1,070,654 × 1,070,654
  4. Step 4: Simplify right side
    803,077x = 1,146,299,987,716
  5. Step 5: Solve for x
    x = 1,146,299,987,716/803,077
  6. Step 6: Final answer
    x = 1,427,384.91

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