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Finding the Third Proportional to 770,969 and 1,695,712

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Solution

The third proportional to 770,969 and 1,695,712 is: 3,729,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,969 : 1,695,712 = 1,695,712 : x
  2. Step 2: Convert to fraction form
    770,969/1,695,712 = 1,695,712/x
  3. Step 3: Cross multiply
    770,969x = 1,695,712 × 1,695,712
  4. Step 4: Simplify right side
    770,969x = 2,875,439,186,944
  5. Step 5: Solve for x
    x = 2,875,439,186,944/770,969
  6. Step 6: Final answer
    x = 3,729,643.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.