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Finding the Third Proportional to 908,106.19 and 1,926,906.47

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Solution

The third proportional to 908,106.19 and 1,926,906.47 is: 4,088,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,106.19 : 1,926,906.47 = 1,926,906.47 : x
  2. Step 2: Convert to fraction form
    908,106.19/1,926,906.47 = 1,926,906.47/x
  3. Step 3: Cross multiply
    908,106.19x = 1,926,906.47 × 1,926,906.47
  4. Step 4: Simplify right side
    908,106.19x = 3,712,968,539,310.60
  5. Step 5: Solve for x
    x = 3,712,968,539,310.60/908,106.19
  6. Step 6: Final answer
    x = 4,088,694.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.