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Finding the Third Proportional to 797,170 and 1,210,518

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Solution

The third proportional to 797,170 and 1,210,518 is: 1,838,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,170 : 1,210,518 = 1,210,518 : x
  2. Step 2: Convert to fraction form
    797,170/1,210,518 = 1,210,518/x
  3. Step 3: Cross multiply
    797,170x = 1,210,518 × 1,210,518
  4. Step 4: Simplify right side
    797,170x = 1,465,353,828,324
  5. Step 5: Solve for x
    x = 1,465,353,828,324/797,170
  6. Step 6: Final answer
    x = 1,838,194.90

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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.