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Finding the Third Proportional to 468,643.50 and 1,008,486

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Solution

The third proportional to 468,643.50 and 1,008,486 is: 2,170,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,643.50 : 1,008,486 = 1,008,486 : x
  2. Step 2: Convert to fraction form
    468,643.50/1,008,486 = 1,008,486/x
  3. Step 3: Cross multiply
    468,643.50x = 1,008,486 × 1,008,486
  4. Step 4: Simplify right side
    468,643.50x = 1,017,044,012,196
  5. Step 5: Solve for x
    x = 1,017,044,012,196/468,643.50
  6. Step 6: Final answer
    x = 2,170,186.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.