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Finding the Third Proportional to 4,829,634 and 6,535,863

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Solution

The third proportional to 4,829,634 and 6,535,863 is: 8,844,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829,634 : 6,535,863 = 6,535,863 : x
  2. Step 2: Convert to fraction form
    4,829,634/6,535,863 = 6,535,863/x
  3. Step 3: Cross multiply
    4,829,634x = 6,535,863 × 6,535,863
  4. Step 4: Simplify right side
    4,829,634x = 42,717,505,154,769
  5. Step 5: Solve for x
    x = 42,717,505,154,769/4,829,634
  6. Step 6: Final answer
    x = 8,844,874.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.