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Finding the Third Proportional to 662,214 and 1,430,275

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Solution

The third proportional to 662,214 and 1,430,275 is: 3,089,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,214 : 1,430,275 = 1,430,275 : x
  2. Step 2: Convert to fraction form
    662,214/1,430,275 = 1,430,275/x
  3. Step 3: Cross multiply
    662,214x = 1,430,275 × 1,430,275
  4. Step 4: Simplify right side
    662,214x = 2,045,686,575,625
  5. Step 5: Solve for x
    x = 2,045,686,575,625/662,214
  6. Step 6: Final answer
    x = 3,089,162.38

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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.