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Finding the Third Proportional to 836,905.50 and 1,830,303

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Solution

The third proportional to 836,905.50 and 1,830,303 is: 4,002,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,905.50 : 1,830,303 = 1,830,303 : x
  2. Step 2: Convert to fraction form
    836,905.50/1,830,303 = 1,830,303/x
  3. Step 3: Cross multiply
    836,905.50x = 1,830,303 × 1,830,303
  4. Step 4: Simplify right side
    836,905.50x = 3,350,009,071,809
  5. Step 5: Solve for x
    x = 3,350,009,071,809/836,905.50
  6. Step 6: Final answer
    x = 4,002,852.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.