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Finding the Third Proportional to 700,543 and 1,484,383

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Solution

The third proportional to 700,543 and 1,484,383 is: 3,145,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,543 : 1,484,383 = 1,484,383 : x
  2. Step 2: Convert to fraction form
    700,543/1,484,383 = 1,484,383/x
  3. Step 3: Cross multiply
    700,543x = 1,484,383 × 1,484,383
  4. Step 4: Simplify right side
    700,543x = 2,203,392,890,689
  5. Step 5: Solve for x
    x = 2,203,392,890,689/700,543
  6. Step 6: Final answer
    x = 3,145,264.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.