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Finding the Third Proportional to 593,106 and 1,235,364

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Solution

The third proportional to 593,106 and 1,235,364 is: 2,573,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,106 : 1,235,364 = 1,235,364 : x
  2. Step 2: Convert to fraction form
    593,106/1,235,364 = 1,235,364/x
  3. Step 3: Cross multiply
    593,106x = 1,235,364 × 1,235,364
  4. Step 4: Simplify right side
    593,106x = 1,526,124,212,496
  5. Step 5: Solve for x
    x = 1,526,124,212,496/593,106
  6. Step 6: Final answer
    x = 2,573,105.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.