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Finding the Third Proportional to 886,443.75 and 1,298,224.13

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Solution

The third proportional to 886,443.75 and 1,298,224.13 is: 1,901,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,443.75 : 1,298,224.13 = 1,298,224.13 : x
  2. Step 2: Convert to fraction form
    886,443.75/1,298,224.13 = 1,298,224.13/x
  3. Step 3: Cross multiply
    886,443.75x = 1,298,224.13 × 1,298,224.13
  4. Step 4: Simplify right side
    886,443.75x = 1,685,385,878,732.02
  5. Step 5: Solve for x
    x = 1,685,385,878,732.02/886,443.75
  6. Step 6: Final answer
    x = 1,901,289.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.