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Finding the Third Proportional to 4,587,208 and 6,415,976

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Solution

The third proportional to 4,587,208 and 6,415,976 is: 8,973,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587,208 : 6,415,976 = 6,415,976 : x
  2. Step 2: Convert to fraction form
    4,587,208/6,415,976 = 6,415,976/x
  3. Step 3: Cross multiply
    4,587,208x = 6,415,976 × 6,415,976
  4. Step 4: Simplify right side
    4,587,208x = 41,164,748,032,576
  5. Step 5: Solve for x
    x = 41,164,748,032,576/4,587,208
  6. Step 6: Final answer
    x = 8,973,813.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.