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Finding the Third Proportional to 480,275 and 1,035,034

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Solution

The third proportional to 480,275 and 1,035,034 is: 2,230,587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,275 : 1,035,034 = 1,035,034 : x
  2. Step 2: Convert to fraction form
    480,275/1,035,034 = 1,035,034/x
  3. Step 3: Cross multiply
    480,275x = 1,035,034 × 1,035,034
  4. Step 4: Simplify right side
    480,275x = 1,071,295,381,156
  5. Step 5: Solve for x
    x = 1,071,295,381,156/480,275
  6. Step 6: Final answer
    x = 2,230,587.44

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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.