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Finding the Third Proportional to 797,172.47 and 1,210,520.95

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Solution

The third proportional to 797,172.47 and 1,210,520.95 is: 1,838,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,172.47 : 1,210,520.95 = 1,210,520.95 : x
  2. Step 2: Convert to fraction form
    797,172.47/1,210,520.95 = 1,210,520.95/x
  3. Step 3: Cross multiply
    797,172.47x = 1,210,520.95 × 1,210,520.95
  4. Step 4: Simplify right side
    797,172.47x = 1,465,360,977,954.66
  5. Step 5: Solve for x
    x = 1,465,360,977,954.66/797,172.47
  6. Step 6: Final answer
    x = 1,838,198.18

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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.