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Finding the Third Proportional to 2,065,872 and 3,019,527

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Solution

The third proportional to 2,065,872 and 3,019,527 is: 4,413,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,872 : 3,019,527 = 3,019,527 : x
  2. Step 2: Convert to fraction form
    2,065,872/3,019,527 = 3,019,527/x
  3. Step 3: Cross multiply
    2,065,872x = 3,019,527 × 3,019,527
  4. Step 4: Simplify right side
    2,065,872x = 9,117,543,303,729
  5. Step 5: Solve for x
    x = 9,117,543,303,729/2,065,872
  6. Step 6: Final answer
    x = 4,413,411.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.