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Finding the Third Proportional to 1,070,308.69 and 1,467,682.03

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Solution

The third proportional to 1,070,308.69 and 1,467,682.03 is: 2,012,588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,308.69 : 1,467,682.03 = 1,467,682.03 : x
  2. Step 2: Convert to fraction form
    1,070,308.69/1,467,682.03 = 1,467,682.03/x
  3. Step 3: Cross multiply
    1,070,308.69x = 1,467,682.03 × 1,467,682.03
  4. Step 4: Simplify right side
    1,070,308.69x = 2,154,090,544,854.13
  5. Step 5: Solve for x
    x = 2,154,090,544,854.13/1,070,308.69
  6. Step 6: Final answer
    x = 2,012,588.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.