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Finding the Third Proportional to 1,648,546 and 3,514,844

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Solution

The third proportional to 1,648,546 and 3,514,844 is: 7,493,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,546 : 3,514,844 = 3,514,844 : x
  2. Step 2: Convert to fraction form
    1,648,546/3,514,844 = 3,514,844/x
  3. Step 3: Cross multiply
    1,648,546x = 3,514,844 × 3,514,844
  4. Step 4: Simplify right side
    1,648,546x = 12,354,128,344,336
  5. Step 5: Solve for x
    x = 12,354,128,344,336/1,648,546
  6. Step 6: Final answer
    x = 7,493,954.28

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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.