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Finding the Third Proportional to 390,498,104 and 856,019,056

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Solution

The third proportional to 390,498,104 and 856,019,056 is: 1,876,497,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,498,104 : 856,019,056 = 856,019,056 : x
  2. Step 2: Convert to fraction form
    390,498,104/856,019,056 = 856,019,056/x
  3. Step 3: Cross multiply
    390,498,104x = 856,019,056 × 856,019,056
  4. Step 4: Simplify right side
    390,498,104x = 732,768,624,235,131,136
  5. Step 5: Solve for x
    x = 732,768,624,235,131,136/390,498,104
  6. Step 6: Final answer
    x = 1,876,497,265.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.