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Finding the Third Proportional to 478,468 and 1,025,600

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Solution

The third proportional to 478,468 and 1,025,600 is: 2,198,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,468 : 1,025,600 = 1,025,600 : x
  2. Step 2: Convert to fraction form
    478,468/1,025,600 = 1,025,600/x
  3. Step 3: Cross multiply
    478,468x = 1,025,600 × 1,025,600
  4. Step 4: Simplify right side
    478,468x = 1,051,855,360,000
  5. Step 5: Solve for x
    x = 1,051,855,360,000/478,468
  6. Step 6: Final answer
    x = 2,198,381.84

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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.