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Finding the Third Proportional to 533,929 and 1,135,681

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Solution

The third proportional to 533,929 and 1,135,681 is: 2,415,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,929 : 1,135,681 = 1,135,681 : x
  2. Step 2: Convert to fraction form
    533,929/1,135,681 = 1,135,681/x
  3. Step 3: Cross multiply
    533,929x = 1,135,681 × 1,135,681
  4. Step 4: Simplify right side
    533,929x = 1,289,771,333,761
  5. Step 5: Solve for x
    x = 1,289,771,333,761/533,929
  6. Step 6: Final answer
    x = 2,415,623.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.