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Finding the Third Proportional to 1,507,938 and 3,286,842

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Solution

The third proportional to 1,507,938 and 3,286,842 is: 7,164,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507,938 : 3,286,842 = 3,286,842 : x
  2. Step 2: Convert to fraction form
    1,507,938/3,286,842 = 3,286,842/x
  3. Step 3: Cross multiply
    1,507,938x = 3,286,842 × 3,286,842
  4. Step 4: Simplify right side
    1,507,938x = 10,803,330,332,964
  5. Step 5: Solve for x
    x = 10,803,330,332,964/1,507,938
  6. Step 6: Final answer
    x = 7,164,306.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.