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Finding the Third Proportional to 700,588 and 1,109,526

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Solution

The third proportional to 700,588 and 1,109,526 is: 1,757,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,588 : 1,109,526 = 1,109,526 : x
  2. Step 2: Convert to fraction form
    700,588/1,109,526 = 1,109,526/x
  3. Step 3: Cross multiply
    700,588x = 1,109,526 × 1,109,526
  4. Step 4: Simplify right side
    700,588x = 1,231,047,944,676
  5. Step 5: Solve for x
    x = 1,231,047,944,676/700,588
  6. Step 6: Final answer
    x = 1,757,163.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.