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Finding the Third Proportional to 1,648,509 and 3,514,755

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Solution

The third proportional to 1,648,509 and 3,514,755 is: 7,493,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,509 : 3,514,755 = 3,514,755 : x
  2. Step 2: Convert to fraction form
    1,648,509/3,514,755 = 3,514,755/x
  3. Step 3: Cross multiply
    1,648,509x = 3,514,755 × 3,514,755
  4. Step 4: Simplify right side
    1,648,509x = 12,353,502,710,025
  5. Step 5: Solve for x
    x = 12,353,502,710,025/1,648,509
  6. Step 6: Final answer
    x = 7,493,742.96

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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.