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Finding the Third Proportional to 1,017,144 and 1,536,033

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Solution

The third proportional to 1,017,144 and 1,536,033 is: 2,319,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,144 : 1,536,033 = 1,536,033 : x
  2. Step 2: Convert to fraction form
    1,017,144/1,536,033 = 1,536,033/x
  3. Step 3: Cross multiply
    1,017,144x = 1,536,033 × 1,536,033
  4. Step 4: Simplify right side
    1,017,144x = 2,359,397,377,089
  5. Step 5: Solve for x
    x = 2,359,397,377,089/1,017,144
  6. Step 6: Final answer
    x = 2,319,629.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.