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Finding the Third Proportional to 543,848 and 1,166,428

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Solution

The third proportional to 543,848 and 1,166,428 is: 2,501,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,848 : 1,166,428 = 1,166,428 : x
  2. Step 2: Convert to fraction form
    543,848/1,166,428 = 1,166,428/x
  3. Step 3: Cross multiply
    543,848x = 1,166,428 × 1,166,428
  4. Step 4: Simplify right side
    543,848x = 1,360,554,279,184
  5. Step 5: Solve for x
    x = 1,360,554,279,184/543,848
  6. Step 6: Final answer
    x = 2,501,717.90

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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.