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Finding the Third Proportional to 770,172 and 1,717,430

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Solution

The third proportional to 770,172 and 1,717,430 is: 3,829,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,172 : 1,717,430 = 1,717,430 : x
  2. Step 2: Convert to fraction form
    770,172/1,717,430 = 1,717,430/x
  3. Step 3: Cross multiply
    770,172x = 1,717,430 × 1,717,430
  4. Step 4: Simplify right side
    770,172x = 2,949,565,804,900
  5. Step 5: Solve for x
    x = 2,949,565,804,900/770,172
  6. Step 6: Final answer
    x = 3,829,749.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.