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Finding the Third Proportional to 712,840 and 1,484,653

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Solution

The third proportional to 712,840 and 1,484,653 is: 3,092,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,840 : 1,484,653 = 1,484,653 : x
  2. Step 2: Convert to fraction form
    712,840/1,484,653 = 1,484,653/x
  3. Step 3: Cross multiply
    712,840x = 1,484,653 × 1,484,653
  4. Step 4: Simplify right side
    712,840x = 2,204,194,530,409
  5. Step 5: Solve for x
    x = 2,204,194,530,409/712,840
  6. Step 6: Final answer
    x = 3,092,130.82

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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.