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Finding the Third Proportional to 722,394 and 1,581,813

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Solution

The third proportional to 722,394 and 1,581,813 is: 3,463,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,394 : 1,581,813 = 1,581,813 : x
  2. Step 2: Convert to fraction form
    722,394/1,581,813 = 1,581,813/x
  3. Step 3: Cross multiply
    722,394x = 1,581,813 × 1,581,813
  4. Step 4: Simplify right side
    722,394x = 2,502,132,366,969
  5. Step 5: Solve for x
    x = 2,502,132,366,969/722,394
  6. Step 6: Final answer
    x = 3,463,667.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.