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Finding the Third Proportional to 628,876 and 1,357,346

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Solution

The third proportional to 628,876 and 1,357,346 is: 2,929,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,876 : 1,357,346 = 1,357,346 : x
  2. Step 2: Convert to fraction form
    628,876/1,357,346 = 1,357,346/x
  3. Step 3: Cross multiply
    628,876x = 1,357,346 × 1,357,346
  4. Step 4: Simplify right side
    628,876x = 1,842,388,163,716
  5. Step 5: Solve for x
    x = 1,842,388,163,716/628,876
  6. Step 6: Final answer
    x = 2,929,652.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.