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Finding the Third Proportional to 508,196 and 1,072,768

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Solution

The third proportional to 508,196 and 1,072,768 is: 2,264,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,196 : 1,072,768 = 1,072,768 : x
  2. Step 2: Convert to fraction form
    508,196/1,072,768 = 1,072,768/x
  3. Step 3: Cross multiply
    508,196x = 1,072,768 × 1,072,768
  4. Step 4: Simplify right side
    508,196x = 1,150,831,181,824
  5. Step 5: Solve for x
    x = 1,150,831,181,824/508,196
  6. Step 6: Final answer
    x = 2,264,541.99

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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.