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Finding the Third Proportional to 461,094,326 and 713,187,814

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Solution

The third proportional to 461,094,326 and 713,187,814 is: 1,103,108,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,094,326 : 713,187,814 = 713,187,814 : x
  2. Step 2: Convert to fraction form
    461,094,326/713,187,814 = 713,187,814/x
  3. Step 3: Cross multiply
    461,094,326x = 713,187,814 × 713,187,814
  4. Step 4: Simplify right side
    461,094,326x = 508,636,858,038,098,624
  5. Step 5: Solve for x
    x = 508,636,858,038,098,624/461,094,326
  6. Step 6: Final answer
    x = 1,103,108,039.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.