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Finding the Third Proportional to 692,601,476 and 1,523,721,879

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Solution

The third proportional to 692,601,476 and 1,523,721,879 is: 3,352,185,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,601,476 : 1,523,721,879 = 1,523,721,879 : x
  2. Step 2: Convert to fraction form
    692,601,476/1,523,721,879 = 1,523,721,879/x
  3. Step 3: Cross multiply
    692,601,476x = 1,523,721,879 × 1,523,721,879
  4. Step 4: Simplify right side
    692,601,476x = 2,321,728,364,543,290,880
  5. Step 5: Solve for x
    x = 2,321,728,364,543,290,880/692,601,476
  6. Step 6: Final answer
    x = 3,352,185,123.76

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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.