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Finding the Third Proportional to 685,284 and 1,008,061

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Solution

The third proportional to 685,284 and 1,008,061 is: 1,482,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,284 : 1,008,061 = 1,008,061 : x
  2. Step 2: Convert to fraction form
    685,284/1,008,061 = 1,008,061/x
  3. Step 3: Cross multiply
    685,284x = 1,008,061 × 1,008,061
  4. Step 4: Simplify right side
    685,284x = 1,016,186,979,721
  5. Step 5: Solve for x
    x = 1,016,186,979,721/685,284
  6. Step 6: Final answer
    x = 1,482,869.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.