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Finding the Third Proportional to 1,354,207,439 and 1,907,022,487

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Solution

The third proportional to 1,354,207,439 and 1,907,022,487 is: 2,685,507,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,207,439 : 1,907,022,487 = 1,907,022,487 : x
  2. Step 2: Convert to fraction form
    1,354,207,439/1,907,022,487 = 1,907,022,487/x
  3. Step 3: Cross multiply
    1,354,207,439x = 1,907,022,487 × 1,907,022,487
  4. Step 4: Simplify right side
    1,354,207,439x = 3,636,734,765,923,665,408
  5. Step 5: Solve for x
    x = 3,636,734,765,923,665,408/1,354,207,439
  6. Step 6: Final answer
    x = 2,685,507,892.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.