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Finding the Third Proportional to 807,894 and 1,196,218.13

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Solution

The third proportional to 807,894 and 1,196,218.13 is: 1,771,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,894 : 1,196,218.13 = 1,196,218.13 : x
  2. Step 2: Convert to fraction form
    807,894/1,196,218.13 = 1,196,218.13/x
  3. Step 3: Cross multiply
    807,894x = 1,196,218.13 × 1,196,218.13
  4. Step 4: Simplify right side
    807,894x = 1,430,937,802,578.52
  5. Step 5: Solve for x
    x = 1,430,937,802,578.52/807,894
  6. Step 6: Final answer
    x = 1,771,194.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.