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Finding the Third Proportional to 478,421 and 1,025,532

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Solution

The third proportional to 478,421 and 1,025,532 is: 2,198,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,421 : 1,025,532 = 1,025,532 : x
  2. Step 2: Convert to fraction form
    478,421/1,025,532 = 1,025,532/x
  3. Step 3: Cross multiply
    478,421x = 1,025,532 × 1,025,532
  4. Step 4: Simplify right side
    478,421x = 1,051,715,883,024
  5. Step 5: Solve for x
    x = 1,051,715,883,024/478,421
  6. Step 6: Final answer
    x = 2,198,306.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.