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Finding the Third Proportional to 945,220 and 1,435,306

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Solution

The third proportional to 945,220 and 1,435,306 is: 2,179,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,220 : 1,435,306 = 1,435,306 : x
  2. Step 2: Convert to fraction form
    945,220/1,435,306 = 1,435,306/x
  3. Step 3: Cross multiply
    945,220x = 1,435,306 × 1,435,306
  4. Step 4: Simplify right side
    945,220x = 2,060,103,313,636
  5. Step 5: Solve for x
    x = 2,060,103,313,636/945,220
  6. Step 6: Final answer
    x = 2,179,496.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.