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Finding the Third Proportional to 391,370,025 and 838,763,457

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Solution

The third proportional to 391,370,025 and 838,763,457 is: 1,797,593,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,370,025 : 838,763,457 = 838,763,457 : x
  2. Step 2: Convert to fraction form
    391,370,025/838,763,457 = 838,763,457/x
  3. Step 3: Cross multiply
    391,370,025x = 838,763,457 × 838,763,457
  4. Step 4: Simplify right side
    391,370,025x = 703,524,136,798,590,848
  5. Step 5: Solve for x
    x = 703,524,136,798,590,848/391,370,025
  6. Step 6: Final answer
    x = 1,797,593,305.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.