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Finding the Third Proportional to 4,163,684 and 6,210,984

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Solution

The third proportional to 4,163,684 and 6,210,984 is: 9,264,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163,684 : 6,210,984 = 6,210,984 : x
  2. Step 2: Convert to fraction form
    4,163,684/6,210,984 = 6,210,984/x
  3. Step 3: Cross multiply
    4,163,684x = 6,210,984 × 6,210,984
  4. Step 4: Simplify right side
    4,163,684x = 38,576,322,248,256
  5. Step 5: Solve for x
    x = 38,576,322,248,256/4,163,684
  6. Step 6: Final answer
    x = 9,264,949.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.