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Finding the Third Proportional to 431,146 and 906,942

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Solution

The third proportional to 431,146 and 906,942 is: 1,907,808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,146 : 906,942 = 906,942 : x
  2. Step 2: Convert to fraction form
    431,146/906,942 = 906,942/x
  3. Step 3: Cross multiply
    431,146x = 906,942 × 906,942
  4. Step 4: Simplify right side
    431,146x = 822,543,791,364
  5. Step 5: Solve for x
    x = 822,543,791,364/431,146
  6. Step 6: Final answer
    x = 1,907,808.01

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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.