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Finding the Third Proportional to 4,146,724 and 6,490,793

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Solution

The third proportional to 4,146,724 and 6,490,793 is: 10,159,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146,724 : 6,490,793 = 6,490,793 : x
  2. Step 2: Convert to fraction form
    4,146,724/6,490,793 = 6,490,793/x
  3. Step 3: Cross multiply
    4,146,724x = 6,490,793 × 6,490,793
  4. Step 4: Simplify right side
    4,146,724x = 42,130,393,768,849
  5. Step 5: Solve for x
    x = 42,130,393,768,849/4,146,724
  6. Step 6: Final answer
    x = 10,159,922.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.