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Finding the Third Proportional to 623,469 and 1,004,055

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Solution

The third proportional to 623,469 and 1,004,055 is: 1,616,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,469 : 1,004,055 = 1,004,055 : x
  2. Step 2: Convert to fraction form
    623,469/1,004,055 = 1,004,055/x
  3. Step 3: Cross multiply
    623,469x = 1,004,055 × 1,004,055
  4. Step 4: Simplify right side
    623,469x = 1,008,126,443,025
  5. Step 5: Solve for x
    x = 1,008,126,443,025/623,469
  6. Step 6: Final answer
    x = 1,616,963.22

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.