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Finding the Third Proportional to 246,822,332 and 512,776,411

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Solution

The third proportional to 246,822,332 and 512,776,411 is: 1,065,299,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,822,332 : 512,776,411 = 512,776,411 : x
  2. Step 2: Convert to fraction form
    246,822,332/512,776,411 = 512,776,411/x
  3. Step 3: Cross multiply
    246,822,332x = 512,776,411 × 512,776,411
  4. Step 4: Simplify right side
    246,822,332x = 262,939,647,678,040,928
  5. Step 5: Solve for x
    x = 262,939,647,678,040,928/246,822,332
  6. Step 6: Final answer
    x = 1,065,299,260.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.