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Finding the Third Proportional to 477,169 and 1,040,076

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Solution

The third proportional to 477,169 and 1,040,076 is: 2,267,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,169 : 1,040,076 = 1,040,076 : x
  2. Step 2: Convert to fraction form
    477,169/1,040,076 = 1,040,076/x
  3. Step 3: Cross multiply
    477,169x = 1,040,076 × 1,040,076
  4. Step 4: Simplify right side
    477,169x = 1,081,758,085,776
  5. Step 5: Solve for x
    x = 1,081,758,085,776/477,169
  6. Step 6: Final answer
    x = 2,267,033.45

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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.