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Finding the Third Proportional to 920,958,408 and 1,417,008,168

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Solution

The third proportional to 920,958,408 and 1,417,008,168 is: 2,180,241,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,958,408 : 1,417,008,168 = 1,417,008,168 : x
  2. Step 2: Convert to fraction form
    920,958,408/1,417,008,168 = 1,417,008,168/x
  3. Step 3: Cross multiply
    920,958,408x = 1,417,008,168 × 1,417,008,168
  4. Step 4: Simplify right side
    920,958,408x = 2,007,912,148,178,716,160
  5. Step 5: Solve for x
    x = 2,007,912,148,178,716,160/920,958,408
  6. Step 6: Final answer
    x = 2,180,241,942.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.