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Finding the Third Proportional to 692,180 and 1,534,664

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Solution

The third proportional to 692,180 and 1,534,664 is: 3,402,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,180 : 1,534,664 = 1,534,664 : x
  2. Step 2: Convert to fraction form
    692,180/1,534,664 = 1,534,664/x
  3. Step 3: Cross multiply
    692,180x = 1,534,664 × 1,534,664
  4. Step 4: Simplify right side
    692,180x = 2,355,193,592,896
  5. Step 5: Solve for x
    x = 2,355,193,592,896/692,180
  6. Step 6: Final answer
    x = 3,402,573.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.