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Finding the Third Proportional to 566,519.06 and 1,159,206.19

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Solution

The third proportional to 566,519.06 and 1,159,206.19 is: 2,371,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,519.06 : 1,159,206.19 = 1,159,206.19 : x
  2. Step 2: Convert to fraction form
    566,519.06/1,159,206.19 = 1,159,206.19/x
  3. Step 3: Cross multiply
    566,519.06x = 1,159,206.19 × 1,159,206.19
  4. Step 4: Simplify right side
    566,519.06x = 1,343,758,985,138.29
  5. Step 5: Solve for x
    x = 1,343,758,985,138.29/566,519.06
  6. Step 6: Final answer
    x = 2,371,957.23

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.