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Finding the Third Proportional to 4,528,024 and 6,774,084

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Solution

The third proportional to 4,528,024 and 6,774,084 is: 10,134,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528,024 : 6,774,084 = 6,774,084 : x
  2. Step 2: Convert to fraction form
    4,528,024/6,774,084 = 6,774,084/x
  3. Step 3: Cross multiply
    4,528,024x = 6,774,084 × 6,774,084
  4. Step 4: Simplify right side
    4,528,024x = 45,888,214,039,056
  5. Step 5: Solve for x
    x = 45,888,214,039,056/4,528,024
  6. Step 6: Final answer
    x = 10,134,269.17

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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.