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Finding the Third Proportional to 1,040,190,858 and 1,426,354,398

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Solution

The third proportional to 1,040,190,858 and 1,426,354,398 is: 1,955,878,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,190,858 : 1,426,354,398 = 1,426,354,398 : x
  2. Step 2: Convert to fraction form
    1,040,190,858/1,426,354,398 = 1,426,354,398/x
  3. Step 3: Cross multiply
    1,040,190,858x = 1,426,354,398 × 1,426,354,398
  4. Step 4: Simplify right side
    1,040,190,858x = 2,034,486,868,693,942,528
  5. Step 5: Solve for x
    x = 2,034,486,868,693,942,528/1,040,190,858
  6. Step 6: Final answer
    x = 1,955,878,436.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.