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Finding the Third Proportional to 700,861 and 1,065,143

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Solution

The third proportional to 700,861 and 1,065,143 is: 1,618,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,861 : 1,065,143 = 1,065,143 : x
  2. Step 2: Convert to fraction form
    700,861/1,065,143 = 1,065,143/x
  3. Step 3: Cross multiply
    700,861x = 1,065,143 × 1,065,143
  4. Step 4: Simplify right side
    700,861x = 1,134,529,610,449
  5. Step 5: Solve for x
    x = 1,134,529,610,449/700,861
  6. Step 6: Final answer
    x = 1,618,765.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.