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Finding the Third Proportional to 424,514 and 892,786

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Solution

The third proportional to 424,514 and 892,786 is: 1,877,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,514 : 892,786 = 892,786 : x
  2. Step 2: Convert to fraction form
    424,514/892,786 = 892,786/x
  3. Step 3: Cross multiply
    424,514x = 892,786 × 892,786
  4. Step 4: Simplify right side
    424,514x = 797,066,841,796
  5. Step 5: Solve for x
    x = 797,066,841,796/424,514
  6. Step 6: Final answer
    x = 1,877,598.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.