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Finding the Third Proportional to 465,718 and 1,006,172

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Solution

The third proportional to 465,718 and 1,006,172 is: 2,173,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,718 : 1,006,172 = 1,006,172 : x
  2. Step 2: Convert to fraction form
    465,718/1,006,172 = 1,006,172/x
  3. Step 3: Cross multiply
    465,718x = 1,006,172 × 1,006,172
  4. Step 4: Simplify right side
    465,718x = 1,012,382,093,584
  5. Step 5: Solve for x
    x = 1,012,382,093,584/465,718
  6. Step 6: Final answer
    x = 2,173,809.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.