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Finding the Third Proportional to 431,895 and 1,008,963

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Solution

The third proportional to 431,895 and 1,008,963 is: 2,357,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,895 : 1,008,963 = 1,008,963 : x
  2. Step 2: Convert to fraction form
    431,895/1,008,963 = 1,008,963/x
  3. Step 3: Cross multiply
    431,895x = 1,008,963 × 1,008,963
  4. Step 4: Simplify right side
    431,895x = 1,018,006,335,369
  5. Step 5: Solve for x
    x = 1,018,006,335,369/431,895
  6. Step 6: Final answer
    x = 2,357,069.05

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.