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Finding the Third Proportional to 748,152 and 1,160,822.25

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Solution

The third proportional to 748,152 and 1,160,822.25 is: 1,801,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,152 : 1,160,822.25 = 1,160,822.25 : x
  2. Step 2: Convert to fraction form
    748,152/1,160,822.25 = 1,160,822.25/x
  3. Step 3: Cross multiply
    748,152x = 1,160,822.25 × 1,160,822.25
  4. Step 4: Simplify right side
    748,152x = 1,347,508,296,095.06
  5. Step 5: Solve for x
    x = 1,347,508,296,095.06/748,152
  6. Step 6: Final answer
    x = 1,801,115.68

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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.