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Finding the Third Proportional to 1,648,544 and 3,514,840

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Solution

The third proportional to 1,648,544 and 3,514,840 is: 7,493,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,544 : 3,514,840 = 3,514,840 : x
  2. Step 2: Convert to fraction form
    1,648,544/3,514,840 = 3,514,840/x
  3. Step 3: Cross multiply
    1,648,544x = 3,514,840 × 3,514,840
  4. Step 4: Simplify right side
    1,648,544x = 12,354,100,225,600
  5. Step 5: Solve for x
    x = 12,354,100,225,600/1,648,544
  6. Step 6: Final answer
    x = 7,493,946.31

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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.