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Finding the Third Proportional to 637,122.38 and 964,947.94

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Solution

The third proportional to 637,122.38 and 964,947.94 is: 1,461,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,122.38 : 964,947.94 = 964,947.94 : x
  2. Step 2: Convert to fraction form
    637,122.38/964,947.94 = 964,947.94/x
  3. Step 3: Cross multiply
    637,122.38x = 964,947.94 × 964,947.94
  4. Step 4: Simplify right side
    637,122.38x = 931,124,522,085.50
  5. Step 5: Solve for x
    x = 931,124,522,085.50/637,122.38
  6. Step 6: Final answer
    x = 1,461,453.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.