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Finding the Third Proportional to 477,426 and 1,004,004

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Solution

The third proportional to 477,426 and 1,004,004 is: 2,111,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,426 : 1,004,004 = 1,004,004 : x
  2. Step 2: Convert to fraction form
    477,426/1,004,004 = 1,004,004/x
  3. Step 3: Cross multiply
    477,426x = 1,004,004 × 1,004,004
  4. Step 4: Simplify right side
    477,426x = 1,008,024,032,016
  5. Step 5: Solve for x
    x = 1,008,024,032,016/477,426
  6. Step 6: Final answer
    x = 2,111,372.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.