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Finding the Third Proportional to 3,237,840 and 4,751,784

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Solution

The third proportional to 3,237,840 and 4,751,784 is: 6,973,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237,840 : 4,751,784 = 4,751,784 : x
  2. Step 2: Convert to fraction form
    3,237,840/4,751,784 = 4,751,784/x
  3. Step 3: Cross multiply
    3,237,840x = 4,751,784 × 4,751,784
  4. Step 4: Simplify right side
    3,237,840x = 22,579,451,182,656
  5. Step 5: Solve for x
    x = 22,579,451,182,656/3,237,840
  6. Step 6: Final answer
    x = 6,973,615.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.