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Finding the Third Proportional to 883,323 and 1,906,533

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Solution

The third proportional to 883,323 and 1,906,533 is: 4,114,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,323 : 1,906,533 = 1,906,533 : x
  2. Step 2: Convert to fraction form
    883,323/1,906,533 = 1,906,533/x
  3. Step 3: Cross multiply
    883,323x = 1,906,533 × 1,906,533
  4. Step 4: Simplify right side
    883,323x = 3,634,868,080,089
  5. Step 5: Solve for x
    x = 3,634,868,080,089/883,323
  6. Step 6: Final answer
    x = 4,114,993.13

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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.