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Finding the Third Proportional to 665,603.44 and 1,457,906.91

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Solution

The third proportional to 665,603.44 and 1,457,906.91 is: 3,193,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,603.44 : 1,457,906.91 = 1,457,906.91 : x
  2. Step 2: Convert to fraction form
    665,603.44/1,457,906.91 = 1,457,906.91/x
  3. Step 3: Cross multiply
    665,603.44x = 1,457,906.91 × 1,457,906.91
  4. Step 4: Simplify right side
    665,603.44x = 2,125,492,547,291.45
  5. Step 5: Solve for x
    x = 2,125,492,547,291.45/665,603.44
  6. Step 6: Final answer
    x = 3,193,331.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.