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Finding the Third Proportional to 684,610 and 1,526,632

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Solution

The third proportional to 684,610 and 1,526,632 is: 3,404,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,610 : 1,526,632 = 1,526,632 : x
  2. Step 2: Convert to fraction form
    684,610/1,526,632 = 1,526,632/x
  3. Step 3: Cross multiply
    684,610x = 1,526,632 × 1,526,632
  4. Step 4: Simplify right side
    684,610x = 2,330,605,263,424
  5. Step 5: Solve for x
    x = 2,330,605,263,424/684,610
  6. Step 6: Final answer
    x = 3,404,281.65

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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.