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Finding the Third Proportional to 874,225,917 and 1,783,569,410

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Solution

The third proportional to 874,225,917 and 1,783,569,410 is: 3,638,784,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,225,917 : 1,783,569,410 = 1,783,569,410 : x
  2. Step 2: Convert to fraction form
    874,225,917/1,783,569,410 = 1,783,569,410/x
  3. Step 3: Cross multiply
    874,225,917x = 1,783,569,410 × 1,783,569,410
  4. Step 4: Simplify right side
    874,225,917x = 3,181,119,840,287,748,096
  5. Step 5: Solve for x
    x = 3,181,119,840,287,748,096/874,225,917
  6. Step 6: Final answer
    x = 3,638,784,641.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.