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Finding the Third Proportional to 1,347,536.25 and 1,971,145.13

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Solution

The third proportional to 1,347,536.25 and 1,971,145.13 is: 2,883,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,536.25 : 1,971,145.13 = 1,971,145.13 : x
  2. Step 2: Convert to fraction form
    1,347,536.25/1,971,145.13 = 1,971,145.13/x
  3. Step 3: Cross multiply
    1,347,536.25x = 1,971,145.13 × 1,971,145.13
  4. Step 4: Simplify right side
    1,347,536.25x = 3,885,413,103,811.27
  5. Step 5: Solve for x
    x = 3,885,413,103,811.27/1,347,536.25
  6. Step 6: Final answer
    x = 2,883,345.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.