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Finding the Third Proportional to 592,924 and 1,296,566

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Solution

The third proportional to 592,924 and 1,296,566 is: 2,835,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,924 : 1,296,566 = 1,296,566 : x
  2. Step 2: Convert to fraction form
    592,924/1,296,566 = 1,296,566/x
  3. Step 3: Cross multiply
    592,924x = 1,296,566 × 1,296,566
  4. Step 4: Simplify right side
    592,924x = 1,681,083,392,356
  5. Step 5: Solve for x
    x = 1,681,083,392,356/592,924
  6. Step 6: Final answer
    x = 2,835,242.62

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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.