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Finding the Third Proportional to 1,169,650 and 1,763,115

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Solution

The third proportional to 1,169,650 and 1,763,115 is: 2,657,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,650 : 1,763,115 = 1,763,115 : x
  2. Step 2: Convert to fraction form
    1,169,650/1,763,115 = 1,763,115/x
  3. Step 3: Cross multiply
    1,169,650x = 1,763,115 × 1,763,115
  4. Step 4: Simplify right side
    1,169,650x = 3,108,574,503,225
  5. Step 5: Solve for x
    x = 3,108,574,503,225/1,169,650
  6. Step 6: Final answer
    x = 2,657,696.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.