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Finding the Third Proportional to 4,859,712 and 7,723,584

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Solution

The third proportional to 4,859,712 and 7,723,584 is: 12,275,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859,712 : 7,723,584 = 7,723,584 : x
  2. Step 2: Convert to fraction form
    4,859,712/7,723,584 = 7,723,584/x
  3. Step 3: Cross multiply
    4,859,712x = 7,723,584 × 7,723,584
  4. Step 4: Simplify right side
    4,859,712x = 59,653,749,805,056
  5. Step 5: Solve for x
    x = 59,653,749,805,056/4,859,712
  6. Step 6: Final answer
    x = 12,275,161.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.