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Finding the Third Proportional to 482,044 and 1,018,264

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Solution

The third proportional to 482,044 and 1,018,264 is: 2,150,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,044 : 1,018,264 = 1,018,264 : x
  2. Step 2: Convert to fraction form
    482,044/1,018,264 = 1,018,264/x
  3. Step 3: Cross multiply
    482,044x = 1,018,264 × 1,018,264
  4. Step 4: Simplify right side
    482,044x = 1,036,861,573,696
  5. Step 5: Solve for x
    x = 1,036,861,573,696/482,044
  6. Step 6: Final answer
    x = 2,150,968.74

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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.