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Finding the Third Proportional to 4,039,570 and 6,045,043

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Solution

The third proportional to 4,039,570 and 6,045,043 is: 9,046,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039,570 : 6,045,043 = 6,045,043 : x
  2. Step 2: Convert to fraction form
    4,039,570/6,045,043 = 6,045,043/x
  3. Step 3: Cross multiply
    4,039,570x = 6,045,043 × 6,045,043
  4. Step 4: Simplify right side
    4,039,570x = 36,542,544,871,849
  5. Step 5: Solve for x
    x = 36,542,544,871,849/4,039,570
  6. Step 6: Final answer
    x = 9,046,147.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.