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Finding the Third Proportional to 960,792 and 2,102,160

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Solution

The third proportional to 960,792 and 2,102,160 is: 4,599,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,792 : 2,102,160 = 2,102,160 : x
  2. Step 2: Convert to fraction form
    960,792/2,102,160 = 2,102,160/x
  3. Step 3: Cross multiply
    960,792x = 2,102,160 × 2,102,160
  4. Step 4: Simplify right side
    960,792x = 4,419,076,665,600
  5. Step 5: Solve for x
    x = 4,419,076,665,600/960,792
  6. Step 6: Final answer
    x = 4,599,410.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.