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Finding the Third Proportional to 758,116 and 1,634,324

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Solution

The third proportional to 758,116 and 1,634,324 is: 3,523,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,116 : 1,634,324 = 1,634,324 : x
  2. Step 2: Convert to fraction form
    758,116/1,634,324 = 1,634,324/x
  3. Step 3: Cross multiply
    758,116x = 1,634,324 × 1,634,324
  4. Step 4: Simplify right side
    758,116x = 2,671,014,936,976
  5. Step 5: Solve for x
    x = 2,671,014,936,976/758,116
  6. Step 6: Final answer
    x = 3,523,227.23

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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.