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Finding the Third Proportional to 1,223,102 and 1,798,702

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Solution

The third proportional to 1,223,102 and 1,798,702 is: 2,645,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,102 : 1,798,702 = 1,798,702 : x
  2. Step 2: Convert to fraction form
    1,223,102/1,798,702 = 1,798,702/x
  3. Step 3: Cross multiply
    1,223,102x = 1,798,702 × 1,798,702
  4. Step 4: Simplify right side
    1,223,102x = 3,235,328,884,804
  5. Step 5: Solve for x
    x = 3,235,328,884,804/1,223,102
  6. Step 6: Final answer
    x = 2,645,183.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.