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Finding the Third Proportional to 592,626 and 941,430

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Solution

The third proportional to 592,626 and 941,430 is: 1,495,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,626 : 941,430 = 941,430 : x
  2. Step 2: Convert to fraction form
    592,626/941,430 = 941,430/x
  3. Step 3: Cross multiply
    592,626x = 941,430 × 941,430
  4. Step 4: Simplify right side
    592,626x = 886,290,444,900
  5. Step 5: Solve for x
    x = 886,290,444,900/592,626
  6. Step 6: Final answer
    x = 1,495,530.82

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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.