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Finding the Third Proportional to 829,140 and 1,757,921

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Solution

The third proportional to 829,140 and 1,757,921 is: 3,727,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,140 : 1,757,921 = 1,757,921 : x
  2. Step 2: Convert to fraction form
    829,140/1,757,921 = 1,757,921/x
  3. Step 3: Cross multiply
    829,140x = 1,757,921 × 1,757,921
  4. Step 4: Simplify right side
    829,140x = 3,090,286,242,241
  5. Step 5: Solve for x
    x = 3,090,286,242,241/829,140
  6. Step 6: Final answer
    x = 3,727,098.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.