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Finding the Third Proportional to 797,174 and 1,210,524

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Solution

The third proportional to 797,174 and 1,210,524 is: 1,838,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,174 : 1,210,524 = 1,210,524 : x
  2. Step 2: Convert to fraction form
    797,174/1,210,524 = 1,210,524/x
  3. Step 3: Cross multiply
    797,174x = 1,210,524 × 1,210,524
  4. Step 4: Simplify right side
    797,174x = 1,465,368,354,576
  5. Step 5: Solve for x
    x = 1,465,368,354,576/797,174
  6. Step 6: Final answer
    x = 1,838,203.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.