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Finding the Third Proportional to 556,284.09 and 1,142,058.52

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Solution

The third proportional to 556,284.09 and 1,142,058.52 is: 2,344,661.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,284.09 : 1,142,058.52 = 1,142,058.52 : x
  2. Step 2: Convert to fraction form
    556,284.09/1,142,058.52 = 1,142,058.52/x
  3. Step 3: Cross multiply
    556,284.09x = 1,142,058.52 × 1,142,058.52
  4. Step 4: Simplify right side
    556,284.09x = 1,304,297,653,111.58
  5. Step 5: Solve for x
    x = 1,304,297,653,111.58/556,284.09
  6. Step 6: Final answer
    x = 2,344,661.06

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Why These Related Problems?

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