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Finding the Third Proportional to 479,203,514 and 684,792,911

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Solution

The third proportional to 479,203,514 and 684,792,911 is: 978,584,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,203,514 : 684,792,911 = 684,792,911 : x
  2. Step 2: Convert to fraction form
    479,203,514/684,792,911 = 684,792,911/x
  3. Step 3: Cross multiply
    479,203,514x = 684,792,911 × 684,792,911
  4. Step 4: Simplify right side
    479,203,514x = 468,941,330,955,853,952
  5. Step 5: Solve for x
    x = 468,941,330,955,853,952/479,203,514
  6. Step 6: Final answer
    x = 978,584,916.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.