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Finding the Third Proportional to 1,853,085 and 2,763,436.50

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Solution

The third proportional to 1,853,085 and 2,763,436.50 is: 4,121,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853,085 : 2,763,436.50 = 2,763,436.50 : x
  2. Step 2: Convert to fraction form
    1,853,085/2,763,436.50 = 2,763,436.50/x
  3. Step 3: Cross multiply
    1,853,085x = 2,763,436.50 × 2,763,436.50
  4. Step 4: Simplify right side
    1,853,085x = 7,636,581,289,532.25
  5. Step 5: Solve for x
    x = 7,636,581,289,532.25/1,853,085
  6. Step 6: Final answer
    x = 4,121,009.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.