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Finding the Third Proportional to 748,686 and 1,637,340

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Solution

The third proportional to 748,686 and 1,637,340 is: 3,580,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,686 : 1,637,340 = 1,637,340 : x
  2. Step 2: Convert to fraction form
    748,686/1,637,340 = 1,637,340/x
  3. Step 3: Cross multiply
    748,686x = 1,637,340 × 1,637,340
  4. Step 4: Simplify right side
    748,686x = 2,680,882,275,600
  5. Step 5: Solve for x
    x = 2,680,882,275,600/748,686
  6. Step 6: Final answer
    x = 3,580,783.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.