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Finding the Third Proportional to 813,572 and 1,694,480

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Solution

The third proportional to 813,572 and 1,694,480 is: 3,529,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,572 : 1,694,480 = 1,694,480 : x
  2. Step 2: Convert to fraction form
    813,572/1,694,480 = 1,694,480/x
  3. Step 3: Cross multiply
    813,572x = 1,694,480 × 1,694,480
  4. Step 4: Simplify right side
    813,572x = 2,871,262,470,400
  5. Step 5: Solve for x
    x = 2,871,262,470,400/813,572
  6. Step 6: Final answer
    x = 3,529,205.12

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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.