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Finding the Third Proportional to 797,166.72 and 1,210,512.57

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Solution

The third proportional to 797,166.72 and 1,210,512.57 is: 1,838,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,166.72 : 1,210,512.57 = 1,210,512.57 : x
  2. Step 2: Convert to fraction form
    797,166.72/1,210,512.57 = 1,210,512.57/x
  3. Step 3: Cross multiply
    797,166.72x = 1,210,512.57 × 1,210,512.57
  4. Step 4: Simplify right side
    797,166.72x = 1,465,340,678,156.07
  5. Step 5: Solve for x
    x = 1,465,340,678,156.07/797,166.72
  6. Step 6: Final answer
    x = 1,838,185.97

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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.