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Finding the Third Proportional to 468,461,612 and 1,017,567,256

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Solution

The third proportional to 468,461,612 and 1,017,567,256 is: 2,210,305,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,461,612 : 1,017,567,256 = 1,017,567,256 : x
  2. Step 2: Convert to fraction form
    468,461,612/1,017,567,256 = 1,017,567,256/x
  3. Step 3: Cross multiply
    468,461,612x = 1,017,567,256 × 1,017,567,256
  4. Step 4: Simplify right side
    468,461,612x = 1,035,443,120,483,369,472
  5. Step 5: Solve for x
    x = 1,035,443,120,483,369,472/468,461,612
  6. Step 6: Final answer
    x = 2,210,305,164.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.