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Finding the Third Proportional to 670,230 and 1,458,399

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Solution

The third proportional to 670,230 and 1,458,399 is: 3,173,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,230 : 1,458,399 = 1,458,399 : x
  2. Step 2: Convert to fraction form
    670,230/1,458,399 = 1,458,399/x
  3. Step 3: Cross multiply
    670,230x = 1,458,399 × 1,458,399
  4. Step 4: Simplify right side
    670,230x = 2,126,927,643,201
  5. Step 5: Solve for x
    x = 2,126,927,643,201/670,230
  6. Step 6: Final answer
    x = 3,173,429.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.