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Finding the Third Proportional to 3,263,460 and 4,700,358

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Solution

The third proportional to 3,263,460 and 4,700,358 is: 6,769,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263,460 : 4,700,358 = 4,700,358 : x
  2. Step 2: Convert to fraction form
    3,263,460/4,700,358 = 4,700,358/x
  3. Step 3: Cross multiply
    3,263,460x = 4,700,358 × 4,700,358
  4. Step 4: Simplify right side
    3,263,460x = 22,093,365,328,164
  5. Step 5: Solve for x
    x = 22,093,365,328,164/3,263,460
  6. Step 6: Final answer
    x = 6,769,920.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.