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Finding the Third Proportional to 746,796 and 1,178,514

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Solution

The third proportional to 746,796 and 1,178,514 is: 1,859,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,796 : 1,178,514 = 1,178,514 : x
  2. Step 2: Convert to fraction form
    746,796/1,178,514 = 1,178,514/x
  3. Step 3: Cross multiply
    746,796x = 1,178,514 × 1,178,514
  4. Step 4: Simplify right side
    746,796x = 1,388,895,248,196
  5. Step 5: Solve for x
    x = 1,388,895,248,196/746,796
  6. Step 6: Final answer
    x = 1,859,805.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.