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Finding the Third Proportional to 1,655,920 and 3,621,792

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Solution

The third proportional to 1,655,920 and 3,621,792 is: 7,921,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655,920 : 3,621,792 = 3,621,792 : x
  2. Step 2: Convert to fraction form
    1,655,920/3,621,792 = 3,621,792/x
  3. Step 3: Cross multiply
    1,655,920x = 3,621,792 × 3,621,792
  4. Step 4: Simplify right side
    1,655,920x = 13,117,377,291,264
  5. Step 5: Solve for x
    x = 13,117,377,291,264/1,655,920
  6. Step 6: Final answer
    x = 7,921,504.23

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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.