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Finding the Third Proportional to 2,134,712 and 4,663,407

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Solution

The third proportional to 2,134,712 and 4,663,407 is: 10,187,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,712 : 4,663,407 = 4,663,407 : x
  2. Step 2: Convert to fraction form
    2,134,712/4,663,407 = 4,663,407/x
  3. Step 3: Cross multiply
    2,134,712x = 4,663,407 × 4,663,407
  4. Step 4: Simplify right side
    2,134,712x = 21,747,364,847,649
  5. Step 5: Solve for x
    x = 21,747,364,847,649/2,134,712
  6. Step 6: Final answer
    x = 10,187,493.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.