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Finding the Third Proportional to 1,151,222.63 and 1,761,922.13

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Solution

The third proportional to 1,151,222.63 and 1,761,922.13 is: 2,696,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,222.63 : 1,761,922.13 = 1,761,922.13 : x
  2. Step 2: Convert to fraction form
    1,151,222.63/1,761,922.13 = 1,761,922.13/x
  3. Step 3: Cross multiply
    1,151,222.63x = 1,761,922.13 × 1,761,922.13
  4. Step 4: Simplify right side
    1,151,222.63x = 3,104,369,574,564.52
  5. Step 5: Solve for x
    x = 3,104,369,574,564.52/1,151,222.63
  6. Step 6: Final answer
    x = 2,696,584.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.