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Finding the Third Proportional to 620,270 and 1,315,820

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Solution

The third proportional to 620,270 and 1,315,820 is: 2,791,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,270 : 1,315,820 = 1,315,820 : x
  2. Step 2: Convert to fraction form
    620,270/1,315,820 = 1,315,820/x
  3. Step 3: Cross multiply
    620,270x = 1,315,820 × 1,315,820
  4. Step 4: Simplify right side
    620,270x = 1,731,382,272,400
  5. Step 5: Solve for x
    x = 1,731,382,272,400/620,270
  6. Step 6: Final answer
    x = 2,791,336.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.