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Finding the Third Proportional to 910,686 and 1,336,524

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Solution

The third proportional to 910,686 and 1,336,524 is: 1,961,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,686 : 1,336,524 = 1,336,524 : x
  2. Step 2: Convert to fraction form
    910,686/1,336,524 = 1,336,524/x
  3. Step 3: Cross multiply
    910,686x = 1,336,524 × 1,336,524
  4. Step 4: Simplify right side
    910,686x = 1,786,296,402,576
  5. Step 5: Solve for x
    x = 1,786,296,402,576/910,686
  6. Step 6: Final answer
    x = 1,961,484.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.