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Finding the Third Proportional to 880,360 and 1,829,600

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Solution

The third proportional to 880,360 and 1,829,600 is: 3,802,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,360 : 1,829,600 = 1,829,600 : x
  2. Step 2: Convert to fraction form
    880,360/1,829,600 = 1,829,600/x
  3. Step 3: Cross multiply
    880,360x = 1,829,600 × 1,829,600
  4. Step 4: Simplify right side
    880,360x = 3,347,436,160,000
  5. Step 5: Solve for x
    x = 3,347,436,160,000/880,360
  6. Step 6: Final answer
    x = 3,802,349.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.