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Finding the Third Proportional to 4,290,768 and 6,361,896

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Solution

The third proportional to 4,290,768 and 6,361,896 is: 9,432,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290,768 : 6,361,896 = 6,361,896 : x
  2. Step 2: Convert to fraction form
    4,290,768/6,361,896 = 6,361,896/x
  3. Step 3: Cross multiply
    4,290,768x = 6,361,896 × 6,361,896
  4. Step 4: Simplify right side
    4,290,768x = 40,473,720,714,816
  5. Step 5: Solve for x
    x = 40,473,720,714,816/4,290,768
  6. Step 6: Final answer
    x = 9,432,745.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.