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Finding the Third Proportional to 760,738 and 1,177,324

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Solution

The third proportional to 760,738 and 1,177,324 is: 1,822,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,738 : 1,177,324 = 1,177,324 : x
  2. Step 2: Convert to fraction form
    760,738/1,177,324 = 1,177,324/x
  3. Step 3: Cross multiply
    760,738x = 1,177,324 × 1,177,324
  4. Step 4: Simplify right side
    760,738x = 1,386,091,800,976
  5. Step 5: Solve for x
    x = 1,386,091,800,976/760,738
  6. Step 6: Final answer
    x = 1,822,035.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.