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Finding the Third Proportional to 699,102 and 1,052,113

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Solution

The third proportional to 699,102 and 1,052,113 is: 1,583,376.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,102 : 1,052,113 = 1,052,113 : x
  2. Step 2: Convert to fraction form
    699,102/1,052,113 = 1,052,113/x
  3. Step 3: Cross multiply
    699,102x = 1,052,113 × 1,052,113
  4. Step 4: Simplify right side
    699,102x = 1,106,941,764,769
  5. Step 5: Solve for x
    x = 1,106,941,764,769/699,102
  6. Step 6: Final answer
    x = 1,583,376.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.