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Finding the Third Proportional to 509,332 and 1,060,521

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Solution

The third proportional to 509,332 and 1,060,521 is: 2,208,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,332 : 1,060,521 = 1,060,521 : x
  2. Step 2: Convert to fraction form
    509,332/1,060,521 = 1,060,521/x
  3. Step 3: Cross multiply
    509,332x = 1,060,521 × 1,060,521
  4. Step 4: Simplify right side
    509,332x = 1,124,704,791,441
  5. Step 5: Solve for x
    x = 1,124,704,791,441/509,332
  6. Step 6: Final answer
    x = 2,208,195.82

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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.