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Finding the Third Proportional to 4,354,225 and 6,865,282

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Solution

The third proportional to 4,354,225 and 6,865,282 is: 10,824,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354,225 : 6,865,282 = 6,865,282 : x
  2. Step 2: Convert to fraction form
    4,354,225/6,865,282 = 6,865,282/x
  3. Step 3: Cross multiply
    4,354,225x = 6,865,282 × 6,865,282
  4. Step 4: Simplify right side
    4,354,225x = 47,132,096,939,524
  5. Step 5: Solve for x
    x = 47,132,096,939,524/4,354,225
  6. Step 6: Final answer
    x = 10,824,451.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.