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Finding the Third Proportional to 808,344 and 1,207,524

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Solution

The third proportional to 808,344 and 1,207,524 is: 1,803,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,344 : 1,207,524 = 1,207,524 : x
  2. Step 2: Convert to fraction form
    808,344/1,207,524 = 1,207,524/x
  3. Step 3: Cross multiply
    808,344x = 1,207,524 × 1,207,524
  4. Step 4: Simplify right side
    808,344x = 1,458,114,210,576
  5. Step 5: Solve for x
    x = 1,458,114,210,576/808,344
  6. Step 6: Final answer
    x = 1,803,828.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.