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Finding the Third Proportional to 486,554,751 and 1,007,602,137

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Solution

The third proportional to 486,554,751 and 1,007,602,137 is: 2,086,634,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,554,751 : 1,007,602,137 = 1,007,602,137 : x
  2. Step 2: Convert to fraction form
    486,554,751/1,007,602,137 = 1,007,602,137/x
  3. Step 3: Cross multiply
    486,554,751x = 1,007,602,137 × 1,007,602,137
  4. Step 4: Simplify right side
    486,554,751x = 1,015,262,066,486,966,784
  5. Step 5: Solve for x
    x = 1,015,262,066,486,966,784/486,554,751
  6. Step 6: Final answer
    x = 2,086,634,781.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.