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Finding the Third Proportional to 818,400 and 1,778,454

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Solution

The third proportional to 818,400 and 1,778,454 is: 3,864,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,400 : 1,778,454 = 1,778,454 : x
  2. Step 2: Convert to fraction form
    818,400/1,778,454 = 1,778,454/x
  3. Step 3: Cross multiply
    818,400x = 1,778,454 × 1,778,454
  4. Step 4: Simplify right side
    818,400x = 3,162,898,630,116
  5. Step 5: Solve for x
    x = 3,162,898,630,116/818,400
  6. Step 6: Final answer
    x = 3,864,734.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.