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Finding the Third Proportional to 374,391,155 and 834,816,784

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Solution

The third proportional to 374,391,155 and 834,816,784 is: 1,861,473,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,391,155 : 834,816,784 = 834,816,784 : x
  2. Step 2: Convert to fraction form
    374,391,155/834,816,784 = 834,816,784/x
  3. Step 3: Cross multiply
    374,391,155x = 834,816,784 × 834,816,784
  4. Step 4: Simplify right side
    374,391,155x = 696,919,062,848,102,656
  5. Step 5: Solve for x
    x = 696,919,062,848,102,656/374,391,155
  6. Step 6: Final answer
    x = 1,861,473,097.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.