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Finding the Third Proportional to 646,757,768 and 994,123,600

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Solution

The third proportional to 646,757,768 and 994,123,600 is: 1,528,055,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,757,768 : 994,123,600 = 994,123,600 : x
  2. Step 2: Convert to fraction form
    646,757,768/994,123,600 = 994,123,600/x
  3. Step 3: Cross multiply
    646,757,768x = 994,123,600 × 994,123,600
  4. Step 4: Simplify right side
    646,757,768x = 988,281,732,076,960,000
  5. Step 5: Solve for x
    x = 988,281,732,076,960,000/646,757,768
  6. Step 6: Final answer
    x = 1,528,055,449.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.