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Finding the Third Proportional to 488,470 and 1,029,420

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Solution

The third proportional to 488,470 and 1,029,420 is: 2,169,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,470 : 1,029,420 = 1,029,420 : x
  2. Step 2: Convert to fraction form
    488,470/1,029,420 = 1,029,420/x
  3. Step 3: Cross multiply
    488,470x = 1,029,420 × 1,029,420
  4. Step 4: Simplify right side
    488,470x = 1,059,705,536,400
  5. Step 5: Solve for x
    x = 1,059,705,536,400/488,470
  6. Step 6: Final answer
    x = 2,169,438.32

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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.