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Finding the Third Proportional to 686,024 and 1,470,496

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Solution

The third proportional to 686,024 and 1,470,496 is: 3,152,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,024 : 1,470,496 = 1,470,496 : x
  2. Step 2: Convert to fraction form
    686,024/1,470,496 = 1,470,496/x
  3. Step 3: Cross multiply
    686,024x = 1,470,496 × 1,470,496
  4. Step 4: Simplify right side
    686,024x = 2,162,358,486,016
  5. Step 5: Solve for x
    x = 2,162,358,486,016/686,024
  6. Step 6: Final answer
    x = 3,152,015.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.