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Finding the Third Proportional to 592,232 and 1,299,688

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Solution

The third proportional to 592,232 and 1,299,688 is: 2,852,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,232 : 1,299,688 = 1,299,688 : x
  2. Step 2: Convert to fraction form
    592,232/1,299,688 = 1,299,688/x
  3. Step 3: Cross multiply
    592,232x = 1,299,688 × 1,299,688
  4. Step 4: Simplify right side
    592,232x = 1,689,188,897,344
  5. Step 5: Solve for x
    x = 1,689,188,897,344/592,232
  6. Step 6: Final answer
    x = 2,852,241.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.