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Finding the Third Proportional to 769,570 and 1,696,712

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Solution

The third proportional to 769,570 and 1,696,712 is: 3,740,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,570 : 1,696,712 = 1,696,712 : x
  2. Step 2: Convert to fraction form
    769,570/1,696,712 = 1,696,712/x
  3. Step 3: Cross multiply
    769,570x = 1,696,712 × 1,696,712
  4. Step 4: Simplify right side
    769,570x = 2,878,831,610,944
  5. Step 5: Solve for x
    x = 2,878,831,610,944/769,570
  6. Step 6: Final answer
    x = 3,740,831.39

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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.