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Finding the Third Proportional to 478,346 and 1,025,380

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Solution

The third proportional to 478,346 and 1,025,380 is: 2,197,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,346 : 1,025,380 = 1,025,380 : x
  2. Step 2: Convert to fraction form
    478,346/1,025,380 = 1,025,380/x
  3. Step 3: Cross multiply
    478,346x = 1,025,380 × 1,025,380
  4. Step 4: Simplify right side
    478,346x = 1,051,404,144,400
  5. Step 5: Solve for x
    x = 1,051,404,144,400/478,346
  6. Step 6: Final answer
    x = 2,197,999.24

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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.