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Finding the Third Proportional to 1,024,305.75 and 2,214,676.69

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Solution

The third proportional to 1,024,305.75 and 2,214,676.69 is: 4,788,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,305.75 : 2,214,676.69 = 2,214,676.69 : x
  2. Step 2: Convert to fraction form
    1,024,305.75/2,214,676.69 = 2,214,676.69/x
  3. Step 3: Cross multiply
    1,024,305.75x = 2,214,676.69 × 2,214,676.69
  4. Step 4: Simplify right side
    1,024,305.75x = 4,904,792,830,155.97
  5. Step 5: Solve for x
    x = 4,904,792,830,155.97/1,024,305.75
  6. Step 6: Final answer
    x = 4,788,407.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.