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Finding the Third Proportional to 429,361,784 and 943,072,864

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Solution

The third proportional to 429,361,784 and 943,072,864 is: 2,071,414,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,361,784 : 943,072,864 = 943,072,864 : x
  2. Step 2: Convert to fraction form
    429,361,784/943,072,864 = 943,072,864/x
  3. Step 3: Cross multiply
    429,361,784x = 943,072,864 × 943,072,864
  4. Step 4: Simplify right side
    429,361,784x = 889,386,426,813,162,496
  5. Step 5: Solve for x
    x = 889,386,426,813,162,496/429,361,784
  6. Step 6: Final answer
    x = 2,071,414,969.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.