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Finding the Third Proportional to 463,659 and 1,015,986

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Solution

The third proportional to 463,659 and 1,015,986 is: 2,226,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,659 : 1,015,986 = 1,015,986 : x
  2. Step 2: Convert to fraction form
    463,659/1,015,986 = 1,015,986/x
  3. Step 3: Cross multiply
    463,659x = 1,015,986 × 1,015,986
  4. Step 4: Simplify right side
    463,659x = 1,032,227,552,196
  5. Step 5: Solve for x
    x = 1,032,227,552,196/463,659
  6. Step 6: Final answer
    x = 2,226,264.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.