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Finding the Third Proportional to 482,492 and 1,029,106

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Solution

The third proportional to 482,492 and 1,029,106 is: 2,194,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,492 : 1,029,106 = 1,029,106 : x
  2. Step 2: Convert to fraction form
    482,492/1,029,106 = 1,029,106/x
  3. Step 3: Cross multiply
    482,492x = 1,029,106 × 1,029,106
  4. Step 4: Simplify right side
    482,492x = 1,059,059,159,236
  5. Step 5: Solve for x
    x = 1,059,059,159,236/482,492
  6. Step 6: Final answer
    x = 2,194,977.66

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.