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Finding the Third Proportional to 478,353 and 1,015,014

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Solution

The third proportional to 478,353 and 1,015,014 is: 2,153,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,353 : 1,015,014 = 1,015,014 : x
  2. Step 2: Convert to fraction form
    478,353/1,015,014 = 1,015,014/x
  3. Step 3: Cross multiply
    478,353x = 1,015,014 × 1,015,014
  4. Step 4: Simplify right side
    478,353x = 1,030,253,420,196
  5. Step 5: Solve for x
    x = 1,030,253,420,196/478,353
  6. Step 6: Final answer
    x = 2,153,751.35

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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.