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Finding the Third Proportional to 2,174,308 and 5,116,018

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Solution

The third proportional to 2,174,308 and 5,116,018 is: 12,037,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,308 : 5,116,018 = 5,116,018 : x
  2. Step 2: Convert to fraction form
    2,174,308/5,116,018 = 5,116,018/x
  3. Step 3: Cross multiply
    2,174,308x = 5,116,018 × 5,116,018
  4. Step 4: Simplify right side
    2,174,308x = 26,173,640,176,324
  5. Step 5: Solve for x
    x = 26,173,640,176,324/2,174,308
  6. Step 6: Final answer
    x = 12,037,687.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.