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Finding the Third Proportional to 604,612 and 1,319,747

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Solution

The third proportional to 604,612 and 1,319,747 is: 2,880,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,612 : 1,319,747 = 1,319,747 : x
  2. Step 2: Convert to fraction form
    604,612/1,319,747 = 1,319,747/x
  3. Step 3: Cross multiply
    604,612x = 1,319,747 × 1,319,747
  4. Step 4: Simplify right side
    604,612x = 1,741,732,144,009
  5. Step 5: Solve for x
    x = 1,741,732,144,009/604,612
  6. Step 6: Final answer
    x = 2,880,743.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.