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Finding the Third Proportional to 448,740,729 and 670,637,836

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Solution

The third proportional to 448,740,729 and 670,637,836 is: 1,002,260,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,740,729 : 670,637,836 = 670,637,836 : x
  2. Step 2: Convert to fraction form
    448,740,729/670,637,836 = 670,637,836/x
  3. Step 3: Cross multiply
    448,740,729x = 670,637,836 × 670,637,836
  4. Step 4: Simplify right side
    448,740,729x = 449,755,107,074,762,880
  5. Step 5: Solve for x
    x = 449,755,107,074,762,880/448,740,729
  6. Step 6: Final answer
    x = 1,002,260,499.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.