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Finding the Third Proportional to 488,464 and 1,029,408

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Solution

The third proportional to 488,464 and 1,029,408 is: 2,169,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,464 : 1,029,408 = 1,029,408 : x
  2. Step 2: Convert to fraction form
    488,464/1,029,408 = 1,029,408/x
  3. Step 3: Cross multiply
    488,464x = 1,029,408 × 1,029,408
  4. Step 4: Simplify right side
    488,464x = 1,059,680,830,464
  5. Step 5: Solve for x
    x = 1,059,680,830,464/488,464
  6. Step 6: Final answer
    x = 2,169,414.39

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.