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Finding the Third Proportional to 592,614 and 941,409

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Solution

The third proportional to 592,614 and 941,409 is: 1,495,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,614 : 941,409 = 941,409 : x
  2. Step 2: Convert to fraction form
    592,614/941,409 = 941,409/x
  3. Step 3: Cross multiply
    592,614x = 941,409 × 941,409
  4. Step 4: Simplify right side
    592,614x = 886,250,905,281
  5. Step 5: Solve for x
    x = 886,250,905,281/592,614
  6. Step 6: Final answer
    x = 1,495,494.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.