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Finding the Third Proportional to 423,451,728 and 917,252,960

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Solution

The third proportional to 423,451,728 and 917,252,960 is: 1,986,892,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,451,728 : 917,252,960 = 917,252,960 : x
  2. Step 2: Convert to fraction form
    423,451,728/917,252,960 = 917,252,960/x
  3. Step 3: Cross multiply
    423,451,728x = 917,252,960 × 917,252,960
  4. Step 4: Simplify right side
    423,451,728x = 841,352,992,628,761,600
  5. Step 5: Solve for x
    x = 841,352,992,628,761,600/423,451,728
  6. Step 6: Final answer
    x = 1,986,892,335.05

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Why These Related Problems?

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