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Finding the Third Proportional to 692,896 and 1,565,020

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Solution

The third proportional to 692,896 and 1,565,020 is: 3,534,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,896 : 1,565,020 = 1,565,020 : x
  2. Step 2: Convert to fraction form
    692,896/1,565,020 = 1,565,020/x
  3. Step 3: Cross multiply
    692,896x = 1,565,020 × 1,565,020
  4. Step 4: Simplify right side
    692,896x = 2,449,287,600,400
  5. Step 5: Solve for x
    x = 2,449,287,600,400/692,896
  6. Step 6: Final answer
    x = 3,534,856.03

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.