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Finding the Third Proportional to 824,704 and 1,276,960

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Solution

The third proportional to 824,704 and 1,276,960 is: 1,977,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,704 : 1,276,960 = 1,276,960 : x
  2. Step 2: Convert to fraction form
    824,704/1,276,960 = 1,276,960/x
  3. Step 3: Cross multiply
    824,704x = 1,276,960 × 1,276,960
  4. Step 4: Simplify right side
    824,704x = 1,630,626,841,600
  5. Step 5: Solve for x
    x = 1,630,626,841,600/824,704
  6. Step 6: Final answer
    x = 1,977,226.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.