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Finding the Third Proportional to 525,762 and 1,117,151

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Solution

The third proportional to 525,762 and 1,117,151 is: 2,373,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,762 : 1,117,151 = 1,117,151 : x
  2. Step 2: Convert to fraction form
    525,762/1,117,151 = 1,117,151/x
  3. Step 3: Cross multiply
    525,762x = 1,117,151 × 1,117,151
  4. Step 4: Simplify right side
    525,762x = 1,248,026,356,801
  5. Step 5: Solve for x
    x = 1,248,026,356,801/525,762
  6. Step 6: Final answer
    x = 2,373,747.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.