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Finding the Third Proportional to 503,770 and 1,064,395

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Solution

The third proportional to 503,770 and 1,064,395 is: 2,248,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,770 : 1,064,395 = 1,064,395 : x
  2. Step 2: Convert to fraction form
    503,770/1,064,395 = 1,064,395/x
  3. Step 3: Cross multiply
    503,770x = 1,064,395 × 1,064,395
  4. Step 4: Simplify right side
    503,770x = 1,132,936,716,025
  5. Step 5: Solve for x
    x = 1,132,936,716,025/503,770
  6. Step 6: Final answer
    x = 2,248,916.60

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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.