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Finding the Third Proportional to 379,409,408 and 846,057,335

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Solution

The third proportional to 379,409,408 and 846,057,335 is: 1,886,650,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,409,408 : 846,057,335 = 846,057,335 : x
  2. Step 2: Convert to fraction form
    379,409,408/846,057,335 = 846,057,335/x
  3. Step 3: Cross multiply
    379,409,408x = 846,057,335 × 846,057,335
  4. Step 4: Simplify right side
    379,409,408x = 715,813,014,107,302,272
  5. Step 5: Solve for x
    x = 715,813,014,107,302,272/379,409,408
  6. Step 6: Final answer
    x = 1,886,650,670.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.