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Finding the Third Proportional to 746,440 and 1,125,845

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Solution

The third proportional to 746,440 and 1,125,845 is: 1,698,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,440 : 1,125,845 = 1,125,845 : x
  2. Step 2: Convert to fraction form
    746,440/1,125,845 = 1,125,845/x
  3. Step 3: Cross multiply
    746,440x = 1,125,845 × 1,125,845
  4. Step 4: Simplify right side
    746,440x = 1,267,526,964,025
  5. Step 5: Solve for x
    x = 1,267,526,964,025/746,440
  6. Step 6: Final answer
    x = 1,698,096.25

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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.