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Finding the Third Proportional to 431,200 and 907,082

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Solution

The third proportional to 431,200 and 907,082 is: 1,908,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,200 : 907,082 = 907,082 : x
  2. Step 2: Convert to fraction form
    431,200/907,082 = 907,082/x
  3. Step 3: Cross multiply
    431,200x = 907,082 × 907,082
  4. Step 4: Simplify right side
    431,200x = 822,797,754,724
  5. Step 5: Solve for x
    x = 822,797,754,724/431,200
  6. Step 6: Final answer
    x = 1,908,158.06

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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.