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Finding the Third Proportional to 1,017,033 and 1,381,257

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Solution

The third proportional to 1,017,033 and 1,381,257 is: 1,875,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,033 : 1,381,257 = 1,381,257 : x
  2. Step 2: Convert to fraction form
    1,017,033/1,381,257 = 1,381,257/x
  3. Step 3: Cross multiply
    1,017,033x = 1,381,257 × 1,381,257
  4. Step 4: Simplify right side
    1,017,033x = 1,907,870,900,049
  5. Step 5: Solve for x
    x = 1,907,870,900,049/1,017,033
  6. Step 6: Final answer
    x = 1,875,918.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.