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Finding the Third Proportional to 475,480 and 1,025,861

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Solution

The third proportional to 475,480 and 1,025,861 is: 2,213,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,480 : 1,025,861 = 1,025,861 : x
  2. Step 2: Convert to fraction form
    475,480/1,025,861 = 1,025,861/x
  3. Step 3: Cross multiply
    475,480x = 1,025,861 × 1,025,861
  4. Step 4: Simplify right side
    475,480x = 1,052,390,791,321
  5. Step 5: Solve for x
    x = 1,052,390,791,321/475,480
  6. Step 6: Final answer
    x = 2,213,322.94

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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.