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Finding the Third Proportional to 598,974 and 1,308,480

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Solution

The third proportional to 598,974 and 1,308,480 is: 2,858,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,974 : 1,308,480 = 1,308,480 : x
  2. Step 2: Convert to fraction form
    598,974/1,308,480 = 1,308,480/x
  3. Step 3: Cross multiply
    598,974x = 1,308,480 × 1,308,480
  4. Step 4: Simplify right side
    598,974x = 1,712,119,910,400
  5. Step 5: Solve for x
    x = 1,712,119,910,400/598,974
  6. Step 6: Final answer
    x = 2,858,421.08

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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.