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Finding the Third Proportional to 791,138 and 1,696,688

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Solution

The third proportional to 791,138 and 1,696,688 is: 3,638,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,138 : 1,696,688 = 1,696,688 : x
  2. Step 2: Convert to fraction form
    791,138/1,696,688 = 1,696,688/x
  3. Step 3: Cross multiply
    791,138x = 1,696,688 × 1,696,688
  4. Step 4: Simplify right side
    791,138x = 2,878,750,169,344
  5. Step 5: Solve for x
    x = 2,878,750,169,344/791,138
  6. Step 6: Final answer
    x = 3,638,745.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.