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Finding the Third Proportional to 1,247,019 and 1,826,101.50

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Solution

The third proportional to 1,247,019 and 1,826,101.50 is: 2,674,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,019 : 1,826,101.50 = 1,826,101.50 : x
  2. Step 2: Convert to fraction form
    1,247,019/1,826,101.50 = 1,826,101.50/x
  3. Step 3: Cross multiply
    1,247,019x = 1,826,101.50 × 1,826,101.50
  4. Step 4: Simplify right side
    1,247,019x = 3,334,646,688,302.25
  5. Step 5: Solve for x
    x = 3,334,646,688,302.25/1,247,019
  6. Step 6: Final answer
    x = 2,674,094.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.