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Finding the Third Proportional to 517,614 and 1,056,354

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Solution

The third proportional to 517,614 and 1,056,354 is: 2,155,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,614 : 1,056,354 = 1,056,354 : x
  2. Step 2: Convert to fraction form
    517,614/1,056,354 = 1,056,354/x
  3. Step 3: Cross multiply
    517,614x = 1,056,354 × 1,056,354
  4. Step 4: Simplify right side
    517,614x = 1,115,883,773,316
  5. Step 5: Solve for x
    x = 1,115,883,773,316/517,614
  6. Step 6: Final answer
    x = 2,155,822.24

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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.