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Finding the Third Proportional to 557,184 and 1,221,173

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Solution

The third proportional to 557,184 and 1,221,173 is: 2,676,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,184 : 1,221,173 = 1,221,173 : x
  2. Step 2: Convert to fraction form
    557,184/1,221,173 = 1,221,173/x
  3. Step 3: Cross multiply
    557,184x = 1,221,173 × 1,221,173
  4. Step 4: Simplify right side
    557,184x = 1,491,263,495,929
  5. Step 5: Solve for x
    x = 1,491,263,495,929/557,184
  6. Step 6: Final answer
    x = 2,676,429.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.