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Finding the Third Proportional to 662,299 and 1,430,462

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Solution

The third proportional to 662,299 and 1,430,462 is: 3,089,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,299 : 1,430,462 = 1,430,462 : x
  2. Step 2: Convert to fraction form
    662,299/1,430,462 = 1,430,462/x
  3. Step 3: Cross multiply
    662,299x = 1,430,462 × 1,430,462
  4. Step 4: Simplify right side
    662,299x = 2,046,221,533,444
  5. Step 5: Solve for x
    x = 2,046,221,533,444/662,299
  6. Step 6: Final answer
    x = 3,089,573.64

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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.