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Finding the Third Proportional to 1,176,838 and 2,514,329

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Solution

The third proportional to 1,176,838 and 2,514,329 is: 5,371,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,838 : 2,514,329 = 2,514,329 : x
  2. Step 2: Convert to fraction form
    1,176,838/2,514,329 = 2,514,329/x
  3. Step 3: Cross multiply
    1,176,838x = 2,514,329 × 2,514,329
  4. Step 4: Simplify right side
    1,176,838x = 6,321,850,320,241
  5. Step 5: Solve for x
    x = 6,321,850,320,241/1,176,838
  6. Step 6: Final answer
    x = 5,371,895.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.