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Finding the Third Proportional to 672,580 and 1,407,472

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Solution

The third proportional to 672,580 and 1,407,472 is: 2,945,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,580 : 1,407,472 = 1,407,472 : x
  2. Step 2: Convert to fraction form
    672,580/1,407,472 = 1,407,472/x
  3. Step 3: Cross multiply
    672,580x = 1,407,472 × 1,407,472
  4. Step 4: Simplify right side
    672,580x = 1,980,977,430,784
  5. Step 5: Solve for x
    x = 1,980,977,430,784/672,580
  6. Step 6: Final answer
    x = 2,945,340.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.