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Finding the Third Proportional to 1,078,140,701 and 1,612,901,197

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Solution

The third proportional to 1,078,140,701 and 1,612,901,197 is: 2,412,904,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,140,701 : 1,612,901,197 = 1,612,901,197 : x
  2. Step 2: Convert to fraction form
    1,078,140,701/1,612,901,197 = 1,612,901,197/x
  3. Step 3: Cross multiply
    1,078,140,701x = 1,612,901,197 × 1,612,901,197
  4. Step 4: Simplify right side
    1,078,140,701x = 2,601,450,271,284,033,024
  5. Step 5: Solve for x
    x = 2,601,450,271,284,033,024/1,078,140,701
  6. Step 6: Final answer
    x = 2,412,904,242.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.