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Finding the Third Proportional to 826,977 and 1,688,943

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Solution

The third proportional to 826,977 and 1,688,943 is: 3,449,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,977 : 1,688,943 = 1,688,943 : x
  2. Step 2: Convert to fraction form
    826,977/1,688,943 = 1,688,943/x
  3. Step 3: Cross multiply
    826,977x = 1,688,943 × 1,688,943
  4. Step 4: Simplify right side
    826,977x = 2,852,528,457,249
  5. Step 5: Solve for x
    x = 2,852,528,457,249/826,977
  6. Step 6: Final answer
    x = 3,449,344.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.