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Finding the Third Proportional to 478,352 and 1,025,392

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Solution

The third proportional to 478,352 and 1,025,392 is: 2,198,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,352 : 1,025,392 = 1,025,392 : x
  2. Step 2: Convert to fraction form
    478,352/1,025,392 = 1,025,392/x
  3. Step 3: Cross multiply
    478,352x = 1,025,392 × 1,025,392
  4. Step 4: Simplify right side
    478,352x = 1,051,428,753,664
  5. Step 5: Solve for x
    x = 1,051,428,753,664/478,352
  6. Step 6: Final answer
    x = 2,198,023.12

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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.