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Finding the Third Proportional to 431,166.38 and 907,022.25

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Solution

The third proportional to 431,166.38 and 907,022.25 is: 1,908,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,166.38 : 907,022.25 = 907,022.25 : x
  2. Step 2: Convert to fraction form
    431,166.38/907,022.25 = 907,022.25/x
  3. Step 3: Cross multiply
    431,166.38x = 907,022.25 × 907,022.25
  4. Step 4: Simplify right side
    431,166.38x = 822,689,361,995.06
  5. Step 5: Solve for x
    x = 822,689,361,995.06/431,166.38
  6. Step 6: Final answer
    x = 1,908,055.47

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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.