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Finding the Third Proportional to 431,175 and 907,042

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Solution

The third proportional to 431,175 and 907,042 is: 1,908,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,175 : 907,042 = 907,042 : x
  2. Step 2: Convert to fraction form
    431,175/907,042 = 907,042/x
  3. Step 3: Cross multiply
    431,175x = 907,042 × 907,042
  4. Step 4: Simplify right side
    431,175x = 822,725,189,764
  5. Step 5: Solve for x
    x = 822,725,189,764/431,175
  6. Step 6: Final answer
    x = 1,908,100.40

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