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Finding the Third Proportional to 908,417 and 1,910,929

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Solution

The third proportional to 908,417 and 1,910,929 is: 4,019,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,417 : 1,910,929 = 1,910,929 : x
  2. Step 2: Convert to fraction form
    908,417/1,910,929 = 1,910,929/x
  3. Step 3: Cross multiply
    908,417x = 1,910,929 × 1,910,929
  4. Step 4: Simplify right side
    908,417x = 3,651,649,643,041
  5. Step 5: Solve for x
    x = 3,651,649,643,041/908,417
  6. Step 6: Final answer
    x = 4,019,794.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.