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Finding the Third Proportional to 982,064 and 2,119,054

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Solution

The third proportional to 982,064 and 2,119,054 is: 4,572,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,064 : 2,119,054 = 2,119,054 : x
  2. Step 2: Convert to fraction form
    982,064/2,119,054 = 2,119,054/x
  3. Step 3: Cross multiply
    982,064x = 2,119,054 × 2,119,054
  4. Step 4: Simplify right side
    982,064x = 4,490,389,854,916
  5. Step 5: Solve for x
    x = 4,490,389,854,916/982,064
  6. Step 6: Final answer
    x = 4,572,400.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.