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Finding the Third Proportional to 478,356 and 1,025,400

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Solution

The third proportional to 478,356 and 1,025,400 is: 2,198,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,356 : 1,025,400 = 1,025,400 : x
  2. Step 2: Convert to fraction form
    478,356/1,025,400 = 1,025,400/x
  3. Step 3: Cross multiply
    478,356x = 1,025,400 × 1,025,400
  4. Step 4: Simplify right side
    478,356x = 1,051,445,160,000
  5. Step 5: Solve for x
    x = 1,051,445,160,000/478,356
  6. Step 6: Final answer
    x = 2,198,039.03

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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.