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Finding the Third Proportional to 507,427 and 1,115,294

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Solution

The third proportional to 507,427 and 1,115,294 is: 2,451,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,427 : 1,115,294 = 1,115,294 : x
  2. Step 2: Convert to fraction form
    507,427/1,115,294 = 1,115,294/x
  3. Step 3: Cross multiply
    507,427x = 1,115,294 × 1,115,294
  4. Step 4: Simplify right side
    507,427x = 1,243,880,706,436
  5. Step 5: Solve for x
    x = 1,243,880,706,436/507,427
  6. Step 6: Final answer
    x = 2,451,349.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.