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Finding the Third Proportional to 478,311 and 1,014,942

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Solution

The third proportional to 478,311 and 1,014,942 is: 2,153,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,311 : 1,014,942 = 1,014,942 : x
  2. Step 2: Convert to fraction form
    478,311/1,014,942 = 1,014,942/x
  3. Step 3: Cross multiply
    478,311x = 1,014,942 × 1,014,942
  4. Step 4: Simplify right side
    478,311x = 1,030,107,263,364
  5. Step 5: Solve for x
    x = 1,030,107,263,364/478,311
  6. Step 6: Final answer
    x = 2,153,634.90

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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.