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Finding the Third Proportional to 594,505,476 and 1,243,217,934

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Solution

The third proportional to 594,505,476 and 1,243,217,934 is: 2,599,792,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,505,476 : 1,243,217,934 = 1,243,217,934 : x
  2. Step 2: Convert to fraction form
    594,505,476/1,243,217,934 = 1,243,217,934/x
  3. Step 3: Cross multiply
    594,505,476x = 1,243,217,934 × 1,243,217,934
  4. Step 4: Simplify right side
    594,505,476x = 1,545,590,831,419,228,416
  5. Step 5: Solve for x
    x = 1,545,590,831,419,228,416/594,505,476
  6. Step 6: Final answer
    x = 2,599,792,422.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.