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Finding the Third Proportional to 1,039,418,604 and 1,412,093,709

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Solution

The third proportional to 1,039,418,604 and 1,412,093,709 is: 1,918,388,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,418,604 : 1,412,093,709 = 1,412,093,709 : x
  2. Step 2: Convert to fraction form
    1,039,418,604/1,412,093,709 = 1,412,093,709/x
  3. Step 3: Cross multiply
    1,039,418,604x = 1,412,093,709 × 1,412,093,709
  4. Step 4: Simplify right side
    1,039,418,604x = 1,994,008,642,997,376,768
  5. Step 5: Solve for x
    x = 1,994,008,642,997,376,768/1,039,418,604
  6. Step 6: Final answer
    x = 1,918,388,448.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.