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Finding the Third Proportional to 1,520,480 and 3,265,584

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Solution

The third proportional to 1,520,480 and 3,265,584 is: 7,013,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,480 : 3,265,584 = 3,265,584 : x
  2. Step 2: Convert to fraction form
    1,520,480/3,265,584 = 3,265,584/x
  3. Step 3: Cross multiply
    1,520,480x = 3,265,584 × 3,265,584
  4. Step 4: Simplify right side
    1,520,480x = 10,664,038,861,056
  5. Step 5: Solve for x
    x = 10,664,038,861,056/1,520,480
  6. Step 6: Final answer
    x = 7,013,600.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.