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Finding the Third Proportional to 1,612,320 and 3,514,944

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Solution

The third proportional to 1,612,320 and 3,514,944 is: 7,662,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612,320 : 3,514,944 = 3,514,944 : x
  2. Step 2: Convert to fraction form
    1,612,320/3,514,944 = 3,514,944/x
  3. Step 3: Cross multiply
    1,612,320x = 3,514,944 × 3,514,944
  4. Step 4: Simplify right side
    1,612,320x = 12,354,831,323,136
  5. Step 5: Solve for x
    x = 12,354,831,323,136/1,612,320
  6. Step 6: Final answer
    x = 7,662,766.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.