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Finding the Third Proportional to 6,033,420 and 8,439,570

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Solution

The third proportional to 6,033,420 and 8,439,570 is: 11,805,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033,420 : 8,439,570 = 8,439,570 : x
  2. Step 2: Convert to fraction form
    6,033,420/8,439,570 = 8,439,570/x
  3. Step 3: Cross multiply
    6,033,420x = 8,439,570 × 8,439,570
  4. Step 4: Simplify right side
    6,033,420x = 71,226,341,784,900
  5. Step 5: Solve for x
    x = 71,226,341,784,900/6,033,420
  6. Step 6: Final answer
    x = 11,805,301.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.