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Finding the Third Proportional to 623,181 and 1,017,498

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Solution

The third proportional to 623,181 and 1,017,498 is: 1,661,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,181 : 1,017,498 = 1,017,498 : x
  2. Step 2: Convert to fraction form
    623,181/1,017,498 = 1,017,498/x
  3. Step 3: Cross multiply
    623,181x = 1,017,498 × 1,017,498
  4. Step 4: Simplify right side
    623,181x = 1,035,302,180,004
  5. Step 5: Solve for x
    x = 1,035,302,180,004/623,181
  6. Step 6: Final answer
    x = 1,661,318.59

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.