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Finding the Third Proportional to 684,588 and 1,526,586

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Solution

The third proportional to 684,588 and 1,526,586 is: 3,404,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,588 : 1,526,586 = 1,526,586 : x
  2. Step 2: Convert to fraction form
    684,588/1,526,586 = 1,526,586/x
  3. Step 3: Cross multiply
    684,588x = 1,526,586 × 1,526,586
  4. Step 4: Simplify right side
    684,588x = 2,330,464,815,396
  5. Step 5: Solve for x
    x = 2,330,464,815,396/684,588
  6. Step 6: Final answer
    x = 3,404,185.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.