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Finding the Third Proportional to 1,649,382 and 3,514,764

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Solution

The third proportional to 1,649,382 and 3,514,764 is: 7,489,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,382 : 3,514,764 = 3,514,764 : x
  2. Step 2: Convert to fraction form
    1,649,382/3,514,764 = 3,514,764/x
  3. Step 3: Cross multiply
    1,649,382x = 3,514,764 × 3,514,764
  4. Step 4: Simplify right side
    1,649,382x = 12,353,565,975,696
  5. Step 5: Solve for x
    x = 12,353,565,975,696/1,649,382
  6. Step 6: Final answer
    x = 7,489,814.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.