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Finding the Third Proportional to 623,477 and 1,004,066

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Solution

The third proportional to 623,477 and 1,004,066 is: 1,616,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,477 : 1,004,066 = 1,004,066 : x
  2. Step 2: Convert to fraction form
    623,477/1,004,066 = 1,004,066/x
  3. Step 3: Cross multiply
    623,477x = 1,004,066 × 1,004,066
  4. Step 4: Simplify right side
    623,477x = 1,008,148,532,356
  5. Step 5: Solve for x
    x = 1,008,148,532,356/623,477
  6. Step 6: Final answer
    x = 1,616,977.90

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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.