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Finding the Third Proportional to 644,197,806 and 985,032,333

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Solution

The third proportional to 644,197,806 and 985,032,333 is: 1,506,196,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,197,806 : 985,032,333 = 985,032,333 : x
  2. Step 2: Convert to fraction form
    644,197,806/985,032,333 = 985,032,333/x
  3. Step 3: Cross multiply
    644,197,806x = 985,032,333 × 985,032,333
  4. Step 4: Simplify right side
    644,197,806x = 970,288,697,055,422,848
  5. Step 5: Solve for x
    x = 970,288,697,055,422,848/644,197,806
  6. Step 6: Final answer
    x = 1,506,196,835.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.