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Finding the Third Proportional to 623,471 and 1,004,057

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Solution

The third proportional to 623,471 and 1,004,057 is: 1,616,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,471 : 1,004,057 = 1,004,057 : x
  2. Step 2: Convert to fraction form
    623,471/1,004,057 = 1,004,057/x
  3. Step 3: Cross multiply
    623,471x = 1,004,057 × 1,004,057
  4. Step 4: Simplify right side
    623,471x = 1,008,130,459,249
  5. Step 5: Solve for x
    x = 1,008,130,459,249/623,471
  6. Step 6: Final answer
    x = 1,616,964.48

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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.