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Finding the Third Proportional to 700,064 and 1,526,832

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Solution

The third proportional to 700,064 and 1,526,832 is: 3,330,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,064 : 1,526,832 = 1,526,832 : x
  2. Step 2: Convert to fraction form
    700,064/1,526,832 = 1,526,832/x
  3. Step 3: Cross multiply
    700,064x = 1,526,832 × 1,526,832
  4. Step 4: Simplify right side
    700,064x = 2,331,215,956,224
  5. Step 5: Solve for x
    x = 2,331,215,956,224/700,064
  6. Step 6: Final answer
    x = 3,330,004.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.