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Finding the Third Proportional to 1,338,429.34 and 2,039,012.68

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Solution

The third proportional to 1,338,429.34 and 2,039,012.68 is: 3,106,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,429.34 : 2,039,012.68 = 2,039,012.68 : x
  2. Step 2: Convert to fraction form
    1,338,429.34/2,039,012.68 = 2,039,012.68/x
  3. Step 3: Cross multiply
    1,338,429.34x = 2,039,012.68 × 2,039,012.68
  4. Step 4: Simplify right side
    1,338,429.34x = 4,157,572,723,856.39
  5. Step 5: Solve for x
    x = 4,157,572,723,856.39/1,338,429.34
  6. Step 6: Final answer
    x = 3,106,307.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.