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Finding the Third Proportional to 1,206,326.04 and 1,880,704.20

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Solution

The third proportional to 1,206,326.04 and 1,880,704.20 is: 2,932,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,326.04 : 1,880,704.20 = 1,880,704.20 : x
  2. Step 2: Convert to fraction form
    1,206,326.04/1,880,704.20 = 1,880,704.20/x
  3. Step 3: Cross multiply
    1,206,326.04x = 1,880,704.20 × 1,880,704.20
  4. Step 4: Simplify right side
    1,206,326.04x = 3,537,048,270,266.04
  5. Step 5: Solve for x
    x = 3,537,048,270,266.04/1,206,326.04
  6. Step 6: Final answer
    x = 2,932,083.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.