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Finding the Third Proportional to 690,724 and 1,065,630

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Solution

The third proportional to 690,724 and 1,065,630 is: 1,644,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,724 : 1,065,630 = 1,065,630 : x
  2. Step 2: Convert to fraction form
    690,724/1,065,630 = 1,065,630/x
  3. Step 3: Cross multiply
    690,724x = 1,065,630 × 1,065,630
  4. Step 4: Simplify right side
    690,724x = 1,135,567,296,900
  5. Step 5: Solve for x
    x = 1,135,567,296,900/690,724
  6. Step 6: Final answer
    x = 1,644,024.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.