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Finding the Third Proportional to 1,354,207,464 and 1,907,022,522

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Solution

The third proportional to 1,354,207,464 and 1,907,022,522 is: 2,685,507,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,207,464 : 1,907,022,522 = 1,907,022,522 : x
  2. Step 2: Convert to fraction form
    1,354,207,464/1,907,022,522 = 1,907,022,522/x
  3. Step 3: Cross multiply
    1,354,207,464x = 1,907,022,522 × 1,907,022,522
  4. Step 4: Simplify right side
    1,354,207,464x = 3,636,734,899,415,240,704
  5. Step 5: Solve for x
    x = 3,636,734,899,415,240,704/1,354,207,464
  6. Step 6: Final answer
    x = 2,685,507,941.80

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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.