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Finding the Third Proportional to 562,484,512 and 895,062,138

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Solution

The third proportional to 562,484,512 and 895,062,138 is: 1,424,281,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,484,512 : 895,062,138 = 895,062,138 : x
  2. Step 2: Convert to fraction form
    562,484,512/895,062,138 = 895,062,138/x
  3. Step 3: Cross multiply
    562,484,512x = 895,062,138 × 895,062,138
  4. Step 4: Simplify right side
    562,484,512x = 801,136,230,881,131,008
  5. Step 5: Solve for x
    x = 801,136,230,881,131,008/562,484,512
  6. Step 6: Final answer
    x = 1,424,281,404.71

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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.