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Finding the Third Proportional to 506,698,144 and 1,091,144,138

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Solution

The third proportional to 506,698,144 and 1,091,144,138 is: 2,349,713,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,698,144 : 1,091,144,138 = 1,091,144,138 : x
  2. Step 2: Convert to fraction form
    506,698,144/1,091,144,138 = 1,091,144,138/x
  3. Step 3: Cross multiply
    506,698,144x = 1,091,144,138 × 1,091,144,138
  4. Step 4: Simplify right side
    506,698,144x = 1,190,595,529,891,762,944
  5. Step 5: Solve for x
    x = 1,190,595,529,891,762,944/506,698,144
  6. Step 6: Final answer
    x = 2,349,713,619.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.