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Finding the Third Proportional to 827,458,317 and 1,234,011,928.50

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Solution

The third proportional to 827,458,317 and 1,234,011,928.50 is: 1,840,316,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,458,317 : 1,234,011,928.50 = 1,234,011,928.50 : x
  2. Step 2: Convert to fraction form
    827,458,317/1,234,011,928.50 = 1,234,011,928.50/x
  3. Step 3: Cross multiply
    827,458,317x = 1,234,011,928.50 × 1,234,011,928.50
  4. Step 4: Simplify right side
    827,458,317x = 1,522,785,439,680,289,024
  5. Step 5: Solve for x
    x = 1,522,785,439,680,289,024/827,458,317
  6. Step 6: Final answer
    x = 1,840,316,797.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.