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Finding the Third Proportional to 4,563,398 and 6,830,881

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Solution

The third proportional to 4,563,398 and 6,830,881 is: 10,225,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563,398 : 6,830,881 = 6,830,881 : x
  2. Step 2: Convert to fraction form
    4,563,398/6,830,881 = 6,830,881/x
  3. Step 3: Cross multiply
    4,563,398x = 6,830,881 × 6,830,881
  4. Step 4: Simplify right side
    4,563,398x = 46,660,935,236,161
  5. Step 5: Solve for x
    x = 46,660,935,236,161/4,563,398
  6. Step 6: Final answer
    x = 10,225,041.79

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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.