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Finding the Third Proportional to 4,254,824 and 6,386,589

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Solution

The third proportional to 4,254,824 and 6,386,589 is: 9,586,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254,824 : 6,386,589 = 6,386,589 : x
  2. Step 2: Convert to fraction form
    4,254,824/6,386,589 = 6,386,589/x
  3. Step 3: Cross multiply
    4,254,824x = 6,386,589 × 6,386,589
  4. Step 4: Simplify right side
    4,254,824x = 40,788,519,054,921
  5. Step 5: Solve for x
    x = 40,788,519,054,921/4,254,824
  6. Step 6: Final answer
    x = 9,586,417.45

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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.