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Finding the Third Proportional to 829,019 and 1,720,354

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Solution

The third proportional to 829,019 and 1,720,354 is: 3,570,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,019 : 1,720,354 = 1,720,354 : x
  2. Step 2: Convert to fraction form
    829,019/1,720,354 = 1,720,354/x
  3. Step 3: Cross multiply
    829,019x = 1,720,354 × 1,720,354
  4. Step 4: Simplify right side
    829,019x = 2,959,617,885,316
  5. Step 5: Solve for x
    x = 2,959,617,885,316/829,019
  6. Step 6: Final answer
    x = 3,570,024.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.