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Finding the Third Proportional to 544,478,976 and 817,116,768

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Solution

The third proportional to 544,478,976 and 817,116,768 is: 1,226,272,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,478,976 : 817,116,768 = 817,116,768 : x
  2. Step 2: Convert to fraction form
    544,478,976/817,116,768 = 817,116,768/x
  3. Step 3: Cross multiply
    544,478,976x = 817,116,768 × 817,116,768
  4. Step 4: Simplify right side
    544,478,976x = 667,679,812,546,765,824
  5. Step 5: Solve for x
    x = 667,679,812,546,765,824/544,478,976
  6. Step 6: Final answer
    x = 1,226,272,899.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.