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Finding the Third Proportional to 431,179.75 and 907,046

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Solution

The third proportional to 431,179.75 and 907,046 is: 1,908,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,179.75 : 907,046 = 907,046 : x
  2. Step 2: Convert to fraction form
    431,179.75/907,046 = 907,046/x
  3. Step 3: Cross multiply
    431,179.75x = 907,046 × 907,046
  4. Step 4: Simplify right side
    431,179.75x = 822,732,446,116
  5. Step 5: Solve for x
    x = 822,732,446,116/431,179.75
  6. Step 6: Final answer
    x = 1,908,096.21

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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.