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Finding the Third Proportional to 1,106,353.13 and 1,669,705.88

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Solution

The third proportional to 1,106,353.13 and 1,669,705.88 is: 2,519,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,353.13 : 1,669,705.88 = 1,669,705.88 : x
  2. Step 2: Convert to fraction form
    1,106,353.13/1,669,705.88 = 1,669,705.88/x
  3. Step 3: Cross multiply
    1,106,353.13x = 1,669,705.88 × 1,669,705.88
  4. Step 4: Simplify right side
    1,106,353.13x = 2,787,917,709,009.52
  5. Step 5: Solve for x
    x = 2,787,917,709,009.52/1,106,353.13
  6. Step 6: Final answer
    x = 2,519,916.69

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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.