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Finding the Third Proportional to 813,304.13 and 1,766,615.06

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Solution

The third proportional to 813,304.13 and 1,766,615.06 is: 3,837,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,304.13 : 1,766,615.06 = 1,766,615.06 : x
  2. Step 2: Convert to fraction form
    813,304.13/1,766,615.06 = 1,766,615.06/x
  3. Step 3: Cross multiply
    813,304.13x = 1,766,615.06 × 1,766,615.06
  4. Step 4: Simplify right side
    813,304.13x = 3,120,928,779,051.88
  5. Step 5: Solve for x
    x = 3,120,928,779,051.88/813,304.13
  6. Step 6: Final answer
    x = 3,837,345.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.