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Finding the Third Proportional to 2,134,740 and 4,574,571

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Solution

The third proportional to 2,134,740 and 4,574,571 is: 9,802,926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,740 : 4,574,571 = 4,574,571 : x
  2. Step 2: Convert to fraction form
    2,134,740/4,574,571 = 4,574,571/x
  3. Step 3: Cross multiply
    2,134,740x = 4,574,571 × 4,574,571
  4. Step 4: Simplify right side
    2,134,740x = 20,926,699,834,041
  5. Step 5: Solve for x
    x = 20,926,699,834,041/2,134,740
  6. Step 6: Final answer
    x = 9,802,926.74

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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.