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Finding the Third Proportional to 724,326 and 1,065,465

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Solution

The third proportional to 724,326 and 1,065,465 is: 1,567,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,326 : 1,065,465 = 1,065,465 : x
  2. Step 2: Convert to fraction form
    724,326/1,065,465 = 1,065,465/x
  3. Step 3: Cross multiply
    724,326x = 1,065,465 × 1,065,465
  4. Step 4: Simplify right side
    724,326x = 1,135,215,666,225
  5. Step 5: Solve for x
    x = 1,135,215,666,225/724,326
  6. Step 6: Final answer
    x = 1,567,271.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.