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Finding the Third Proportional to 598,298,904 and 919,060,371

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Solution

The third proportional to 598,298,904 and 919,060,371 is: 1,411,789,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,298,904 : 919,060,371 = 919,060,371 : x
  2. Step 2: Convert to fraction form
    598,298,904/919,060,371 = 919,060,371/x
  3. Step 3: Cross multiply
    598,298,904x = 919,060,371 × 919,060,371
  4. Step 4: Simplify right side
    598,298,904x = 844,671,965,542,657,664
  5. Step 5: Solve for x
    x = 844,671,965,542,657,664/598,298,904
  6. Step 6: Final answer
    x = 1,411,789,257.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.