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Finding the Third Proportional to 1,648,483 and 3,514,707

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Solution

The third proportional to 1,648,483 and 3,514,707 is: 7,493,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,483 : 3,514,707 = 3,514,707 : x
  2. Step 2: Convert to fraction form
    1,648,483/3,514,707 = 3,514,707/x
  3. Step 3: Cross multiply
    1,648,483x = 3,514,707 × 3,514,707
  4. Step 4: Simplify right side
    1,648,483x = 12,353,165,295,849
  5. Step 5: Solve for x
    x = 12,353,165,295,849/1,648,483
  6. Step 6: Final answer
    x = 7,493,656.47

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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.