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Finding the Third Proportional to 824,786 and 1,277,071

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Solution

The third proportional to 824,786 and 1,277,071 is: 1,977,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,786 : 1,277,071 = 1,277,071 : x
  2. Step 2: Convert to fraction form
    824,786/1,277,071 = 1,277,071/x
  3. Step 3: Cross multiply
    824,786x = 1,277,071 × 1,277,071
  4. Step 4: Simplify right side
    824,786x = 1,630,910,339,041
  5. Step 5: Solve for x
    x = 1,630,910,339,041/824,786
  6. Step 6: Final answer
    x = 1,977,373.94

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Why These Related Problems?

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