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Finding the Third Proportional to 874,262,208 and 1,427,440,371

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Solution

The third proportional to 874,262,208 and 1,427,440,371 is: 2,330,634,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,262,208 : 1,427,440,371 = 1,427,440,371 : x
  2. Step 2: Convert to fraction form
    874,262,208/1,427,440,371 = 1,427,440,371/x
  3. Step 3: Cross multiply
    874,262,208x = 1,427,440,371 × 1,427,440,371
  4. Step 4: Simplify right side
    874,262,208x = 2,037,586,012,760,617,728
  5. Step 5: Solve for x
    x = 2,037,586,012,760,617,728/874,262,208
  6. Step 6: Final answer
    x = 2,330,634,898.91

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.