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Finding the Third Proportional to 606,463,668 and 931,602,374

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Solution

The third proportional to 606,463,668 and 931,602,374 is: 1,431,055,195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,463,668 : 931,602,374 = 931,602,374 : x
  2. Step 2: Convert to fraction form
    606,463,668/931,602,374 = 931,602,374/x
  3. Step 3: Cross multiply
    606,463,668x = 931,602,374 × 931,602,374
  4. Step 4: Simplify right side
    606,463,668x = 867,882,983,242,435,840
  5. Step 5: Solve for x
    x = 867,882,983,242,435,840/606,463,668
  6. Step 6: Final answer
    x = 1,431,055,195.94

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Why These Related Problems?

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