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Finding the Third Proportional to 797,574 and 1,196,943

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Solution

The third proportional to 797,574 and 1,196,943 is: 1,796,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,574 : 1,196,943 = 1,196,943 : x
  2. Step 2: Convert to fraction form
    797,574/1,196,943 = 1,196,943/x
  3. Step 3: Cross multiply
    797,574x = 1,196,943 × 1,196,943
  4. Step 4: Simplify right side
    797,574x = 1,432,672,545,249
  5. Step 5: Solve for x
    x = 1,432,672,545,249/797,574
  6. Step 6: Final answer
    x = 1,796,287.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.