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Finding the Third Proportional to 705,702 and 1,528,041

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Solution

The third proportional to 705,702 and 1,528,041 is: 3,308,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,702 : 1,528,041 = 1,528,041 : x
  2. Step 2: Convert to fraction form
    705,702/1,528,041 = 1,528,041/x
  3. Step 3: Cross multiply
    705,702x = 1,528,041 × 1,528,041
  4. Step 4: Simplify right side
    705,702x = 2,334,909,297,681
  5. Step 5: Solve for x
    x = 2,334,909,297,681/705,702
  6. Step 6: Final answer
    x = 3,308,633.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.