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Finding the Third Proportional to 836,140 and 1,832,023

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Solution

The third proportional to 836,140 and 1,832,023 is: 4,014,050.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,140 : 1,832,023 = 1,832,023 : x
  2. Step 2: Convert to fraction form
    836,140/1,832,023 = 1,832,023/x
  3. Step 3: Cross multiply
    836,140x = 1,832,023 × 1,832,023
  4. Step 4: Simplify right side
    836,140x = 3,356,308,272,529
  5. Step 5: Solve for x
    x = 3,356,308,272,529/836,140
  6. Step 6: Final answer
    x = 4,014,050.60

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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.