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Finding the Third Proportional to 759,184 and 1,164,151

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Solution

The third proportional to 759,184 and 1,164,151 is: 1,785,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,184 : 1,164,151 = 1,164,151 : x
  2. Step 2: Convert to fraction form
    759,184/1,164,151 = 1,164,151/x
  3. Step 3: Cross multiply
    759,184x = 1,164,151 × 1,164,151
  4. Step 4: Simplify right side
    759,184x = 1,355,247,550,801
  5. Step 5: Solve for x
    x = 1,355,247,550,801/759,184
  6. Step 6: Final answer
    x = 1,785,137.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.