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Finding the Third Proportional to 480,276 and 1,035,036

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Solution

The third proportional to 480,276 and 1,035,036 is: 2,230,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,276 : 1,035,036 = 1,035,036 : x
  2. Step 2: Convert to fraction form
    480,276/1,035,036 = 1,035,036/x
  3. Step 3: Cross multiply
    480,276x = 1,035,036 × 1,035,036
  4. Step 4: Simplify right side
    480,276x = 1,071,299,521,296
  5. Step 5: Solve for x
    x = 1,071,299,521,296/480,276
  6. Step 6: Final answer
    x = 2,230,591.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.