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Finding the Third Proportional to 646,781.63 and 1,360,589.06

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Solution

The third proportional to 646,781.63 and 1,360,589.06 is: 2,862,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,781.63 : 1,360,589.06 = 1,360,589.06 : x
  2. Step 2: Convert to fraction form
    646,781.63/1,360,589.06 = 1,360,589.06/x
  3. Step 3: Cross multiply
    646,781.63x = 1,360,589.06 × 1,360,589.06
  4. Step 4: Simplify right side
    646,781.63x = 1,851,202,596,994.63
  5. Step 5: Solve for x
    x = 1,851,202,596,994.63/646,781.63
  6. Step 6: Final answer
    x = 2,862,175.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.