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Finding the Third Proportional to 410,628,752 and 855,223,720

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Solution

The third proportional to 410,628,752 and 855,223,720 is: 1,781,189,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,628,752 : 855,223,720 = 855,223,720 : x
  2. Step 2: Convert to fraction form
    410,628,752/855,223,720 = 855,223,720/x
  3. Step 3: Cross multiply
    410,628,752x = 855,223,720 × 855,223,720
  4. Step 4: Simplify right side
    410,628,752x = 731,407,611,250,638,336
  5. Step 5: Solve for x
    x = 731,407,611,250,638,336/410,628,752
  6. Step 6: Final answer
    x = 1,781,189,475.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.