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Finding the Third Proportional to 501,426 and 1,072,840

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Solution

The third proportional to 501,426 and 1,072,840 is: 2,295,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,426 : 1,072,840 = 1,072,840 : x
  2. Step 2: Convert to fraction form
    501,426/1,072,840 = 1,072,840/x
  3. Step 3: Cross multiply
    501,426x = 1,072,840 × 1,072,840
  4. Step 4: Simplify right side
    501,426x = 1,150,985,665,600
  5. Step 5: Solve for x
    x = 1,150,985,665,600/501,426
  6. Step 6: Final answer
    x = 2,295,424.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.