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Finding the Third Proportional to 481,065 and 1,038,402

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Solution

The third proportional to 481,065 and 1,038,402 is: 2,241,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,065 : 1,038,402 = 1,038,402 : x
  2. Step 2: Convert to fraction form
    481,065/1,038,402 = 1,038,402/x
  3. Step 3: Cross multiply
    481,065x = 1,038,402 × 1,038,402
  4. Step 4: Simplify right side
    481,065x = 1,078,278,713,604
  5. Step 5: Solve for x
    x = 1,078,278,713,604/481,065
  6. Step 6: Final answer
    x = 2,241,440.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.