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Finding the Third Proportional to 478,658 and 1,036,564

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Solution

The third proportional to 478,658 and 1,036,564 is: 2,244,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,658 : 1,036,564 = 1,036,564 : x
  2. Step 2: Convert to fraction form
    478,658/1,036,564 = 1,036,564/x
  3. Step 3: Cross multiply
    478,658x = 1,036,564 × 1,036,564
  4. Step 4: Simplify right side
    478,658x = 1,074,464,926,096
  5. Step 5: Solve for x
    x = 1,074,464,926,096/478,658
  6. Step 6: Final answer
    x = 2,244,744.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.