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Finding the Third Proportional to 826,551 and 1,264,454

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Solution

The third proportional to 826,551 and 1,264,454 is: 1,934,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,551 : 1,264,454 = 1,264,454 : x
  2. Step 2: Convert to fraction form
    826,551/1,264,454 = 1,264,454/x
  3. Step 3: Cross multiply
    826,551x = 1,264,454 × 1,264,454
  4. Step 4: Simplify right side
    826,551x = 1,598,843,918,116
  5. Step 5: Solve for x
    x = 1,598,843,918,116/826,551
  6. Step 6: Final answer
    x = 1,934,356.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.