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Finding the Third Proportional to 431,178 and 907,048

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Solution

The third proportional to 431,178 and 907,048 is: 1,908,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,178 : 907,048 = 907,048 : x
  2. Step 2: Convert to fraction form
    431,178/907,048 = 907,048/x
  3. Step 3: Cross multiply
    431,178x = 907,048 × 907,048
  4. Step 4: Simplify right side
    431,178x = 822,736,074,304
  5. Step 5: Solve for x
    x = 822,736,074,304/431,178
  6. Step 6: Final answer
    x = 1,908,112.37

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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.