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Finding the Third Proportional to 470,452 and 1,025,496

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Solution

The third proportional to 470,452 and 1,025,496 is: 2,235,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,452 : 1,025,496 = 1,025,496 : x
  2. Step 2: Convert to fraction form
    470,452/1,025,496 = 1,025,496/x
  3. Step 3: Cross multiply
    470,452x = 1,025,496 × 1,025,496
  4. Step 4: Simplify right side
    470,452x = 1,051,642,046,016
  5. Step 5: Solve for x
    x = 1,051,642,046,016/470,452
  6. Step 6: Final answer
    x = 2,235,386.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.