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Finding the Third Proportional to 734,862 and 1,574,699

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Solution

The third proportional to 734,862 and 1,574,699 is: 3,374,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,862 : 1,574,699 = 1,574,699 : x
  2. Step 2: Convert to fraction form
    734,862/1,574,699 = 1,574,699/x
  3. Step 3: Cross multiply
    734,862x = 1,574,699 × 1,574,699
  4. Step 4: Simplify right side
    734,862x = 2,479,676,940,601
  5. Step 5: Solve for x
    x = 2,479,676,940,601/734,862
  6. Step 6: Final answer
    x = 3,374,343.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.