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Finding the Third Proportional to 586,634 and 1,126,612

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Solution

The third proportional to 586,634 and 1,126,612 is: 2,163,622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,634 : 1,126,612 = 1,126,612 : x
  2. Step 2: Convert to fraction form
    586,634/1,126,612 = 1,126,612/x
  3. Step 3: Cross multiply
    586,634x = 1,126,612 × 1,126,612
  4. Step 4: Simplify right side
    586,634x = 1,269,254,598,544
  5. Step 5: Solve for x
    x = 1,269,254,598,544/586,634
  6. Step 6: Final answer
    x = 2,163,622.63

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.