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Finding the Third Proportional to 763,256 and 1,121,546

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Solution

The third proportional to 763,256 and 1,121,546 is: 1,648,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,256 : 1,121,546 = 1,121,546 : x
  2. Step 2: Convert to fraction form
    763,256/1,121,546 = 1,121,546/x
  3. Step 3: Cross multiply
    763,256x = 1,121,546 × 1,121,546
  4. Step 4: Simplify right side
    763,256x = 1,257,865,430,116
  5. Step 5: Solve for x
    x = 1,257,865,430,116/763,256
  6. Step 6: Final answer
    x = 1,648,025.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.