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Finding the Third Proportional to 592,607 and 941,399

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Solution

The third proportional to 592,607 and 941,399 is: 1,495,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,607 : 941,399 = 941,399 : x
  2. Step 2: Convert to fraction form
    592,607/941,399 = 941,399/x
  3. Step 3: Cross multiply
    592,607x = 941,399 × 941,399
  4. Step 4: Simplify right side
    592,607x = 886,232,077,201
  5. Step 5: Solve for x
    x = 886,232,077,201/592,607
  6. Step 6: Final answer
    x = 1,495,480.27

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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.