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Finding the Third Proportional to 968,188 and 1,421,178

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Solution

The third proportional to 968,188 and 1,421,178 is: 2,086,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,188 : 1,421,178 = 1,421,178 : x
  2. Step 2: Convert to fraction form
    968,188/1,421,178 = 1,421,178/x
  3. Step 3: Cross multiply
    968,188x = 1,421,178 × 1,421,178
  4. Step 4: Simplify right side
    968,188x = 2,019,746,907,684
  5. Step 5: Solve for x
    x = 2,019,746,907,684/968,188
  6. Step 6: Final answer
    x = 2,086,110.25

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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.