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Finding the Third Proportional to 983,925 and 1,478,925

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Solution

The third proportional to 983,925 and 1,478,925 is: 2,222,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,925 : 1,478,925 = 1,478,925 : x
  2. Step 2: Convert to fraction form
    983,925/1,478,925 = 1,478,925/x
  3. Step 3: Cross multiply
    983,925x = 1,478,925 × 1,478,925
  4. Step 4: Simplify right side
    983,925x = 2,187,219,155,625
  5. Step 5: Solve for x
    x = 2,187,219,155,625/983,925
  6. Step 6: Final answer
    x = 2,222,953.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.