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Finding the Third Proportional to 475,319,571 and 1,020,922,266

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Solution

The third proportional to 475,319,571 and 1,020,922,266 is: 2,192,803,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,319,571 : 1,020,922,266 = 1,020,922,266 : x
  2. Step 2: Convert to fraction form
    475,319,571/1,020,922,266 = 1,020,922,266/x
  3. Step 3: Cross multiply
    475,319,571x = 1,020,922,266 × 1,020,922,266
  4. Step 4: Simplify right side
    475,319,571x = 1,042,282,273,214,574,720
  5. Step 5: Solve for x
    x = 1,042,282,273,214,574,720/475,319,571
  6. Step 6: Final answer
    x = 2,192,803,193.48

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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.