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Finding the Third Proportional to 4,403,842 and 6,201,410

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Solution

The third proportional to 4,403,842 and 6,201,410 is: 8,732,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,403,842 : 6,201,410 = 6,201,410 : x
  2. Step 2: Convert to fraction form
    4,403,842/6,201,410 = 6,201,410/x
  3. Step 3: Cross multiply
    4,403,842x = 6,201,410 × 6,201,410
  4. Step 4: Simplify right side
    4,403,842x = 38,457,485,988,100
  5. Step 5: Solve for x
    x = 38,457,485,988,100/4,403,842
  6. Step 6: Final answer
    x = 8,732,712.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.