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Finding the Third Proportional to 1,078,205,604 and 1,540,780,894

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Solution

The third proportional to 1,078,205,604 and 1,540,780,894 is: 2,201,811,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,205,604 : 1,540,780,894 = 1,540,780,894 : x
  2. Step 2: Convert to fraction form
    1,078,205,604/1,540,780,894 = 1,540,780,894/x
  3. Step 3: Cross multiply
    1,078,205,604x = 1,540,780,894 × 1,540,780,894
  4. Step 4: Simplify right side
    1,078,205,604x = 2,374,005,763,315,439,104
  5. Step 5: Solve for x
    x = 2,374,005,763,315,439,104/1,078,205,604
  6. Step 6: Final answer
    x = 2,201,811,745.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.