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Finding the Third Proportional to 611,336 and 1,347,088

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Solution

The third proportional to 611,336 and 1,347,088 is: 2,968,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,336 : 1,347,088 = 1,347,088 : x
  2. Step 2: Convert to fraction form
    611,336/1,347,088 = 1,347,088/x
  3. Step 3: Cross multiply
    611,336x = 1,347,088 × 1,347,088
  4. Step 4: Simplify right side
    611,336x = 1,814,646,079,744
  5. Step 5: Solve for x
    x = 1,814,646,079,744/611,336
  6. Step 6: Final answer
    x = 2,968,328.51

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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.