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Finding the Third Proportional to 592,927 and 1,296,572

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Solution

The third proportional to 592,927 and 1,296,572 is: 2,835,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,927 : 1,296,572 = 1,296,572 : x
  2. Step 2: Convert to fraction form
    592,927/1,296,572 = 1,296,572/x
  3. Step 3: Cross multiply
    592,927x = 1,296,572 × 1,296,572
  4. Step 4: Simplify right side
    592,927x = 1,681,098,951,184
  5. Step 5: Solve for x
    x = 1,681,098,951,184/592,927
  6. Step 6: Final answer
    x = 2,835,254.51

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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.