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Finding the Third Proportional to 668,989 and 1,019,168

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Solution

The third proportional to 668,989 and 1,019,168 is: 1,552,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,989 : 1,019,168 = 1,019,168 : x
  2. Step 2: Convert to fraction form
    668,989/1,019,168 = 1,019,168/x
  3. Step 3: Cross multiply
    668,989x = 1,019,168 × 1,019,168
  4. Step 4: Simplify right side
    668,989x = 1,038,703,412,224
  5. Step 5: Solve for x
    x = 1,038,703,412,224/668,989
  6. Step 6: Final answer
    x = 1,552,646.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.