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Finding the Third Proportional to 925,416 and 2,142,136

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Solution

The third proportional to 925,416 and 2,142,136 is: 4,958,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,416 : 2,142,136 = 2,142,136 : x
  2. Step 2: Convert to fraction form
    925,416/2,142,136 = 2,142,136/x
  3. Step 3: Cross multiply
    925,416x = 2,142,136 × 2,142,136
  4. Step 4: Simplify right side
    925,416x = 4,588,746,642,496
  5. Step 5: Solve for x
    x = 4,588,746,642,496/925,416
  6. Step 6: Final answer
    x = 4,958,577.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.