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Finding the Third Proportional to 673,478 and 1,009,229

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Solution

The third proportional to 673,478 and 1,009,229 is: 1,512,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,478 : 1,009,229 = 1,009,229 : x
  2. Step 2: Convert to fraction form
    673,478/1,009,229 = 1,009,229/x
  3. Step 3: Cross multiply
    673,478x = 1,009,229 × 1,009,229
  4. Step 4: Simplify right side
    673,478x = 1,018,543,174,441
  5. Step 5: Solve for x
    x = 1,018,543,174,441/673,478
  6. Step 6: Final answer
    x = 1,512,362.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.