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Finding the Third Proportional to 489,346 and 1,078,032

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Solution

The third proportional to 489,346 and 1,078,032 is: 2,374,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,346 : 1,078,032 = 1,078,032 : x
  2. Step 2: Convert to fraction form
    489,346/1,078,032 = 1,078,032/x
  3. Step 3: Cross multiply
    489,346x = 1,078,032 × 1,078,032
  4. Step 4: Simplify right side
    489,346x = 1,162,152,993,024
  5. Step 5: Solve for x
    x = 1,162,152,993,024/489,346
  6. Step 6: Final answer
    x = 2,374,910.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.