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Finding the Third Proportional to 1,146.84 and 1,539.28

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Solution

The third proportional to 1,146.84 and 1,539.28 is: 2,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.84 : 1,539.28 = 1,539.28 : x
  2. Step 2: Convert to fraction form
    1,146.84/1,539.28 = 1,539.28/x
  3. Step 3: Cross multiply
    1,146.84x = 1,539.28 × 1,539.28
  4. Step 4: Simplify right side
    1,146.84x = 2,369,386.77
  5. Step 5: Solve for x
    x = 2,369,386.77/1,146.84
  6. Step 6: Final answer
    x = 2,066.01

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.