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Finding the Third Proportional to 929,043 and 1,308,285

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Solution

The third proportional to 929,043 and 1,308,285 is: 1,842,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,043 : 1,308,285 = 1,308,285 : x
  2. Step 2: Convert to fraction form
    929,043/1,308,285 = 1,308,285/x
  3. Step 3: Cross multiply
    929,043x = 1,308,285 × 1,308,285
  4. Step 4: Simplify right side
    929,043x = 1,711,609,641,225
  5. Step 5: Solve for x
    x = 1,711,609,641,225/929,043
  6. Step 6: Final answer
    x = 1,842,336.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.