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Finding the Third Proportional to 852,862 and 1,766,108

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Solution

The third proportional to 852,862 and 1,766,108 is: 3,657,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,862 : 1,766,108 = 1,766,108 : x
  2. Step 2: Convert to fraction form
    852,862/1,766,108 = 1,766,108/x
  3. Step 3: Cross multiply
    852,862x = 1,766,108 × 1,766,108
  4. Step 4: Simplify right side
    852,862x = 3,119,137,467,664
  5. Step 5: Solve for x
    x = 3,119,137,467,664/852,862
  6. Step 6: Final answer
    x = 3,657,259.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.