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Finding the Third Proportional to 989,338 and 1,478,184

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Solution

The third proportional to 989,338 and 1,478,184 is: 2,208,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,338 : 1,478,184 = 1,478,184 : x
  2. Step 2: Convert to fraction form
    989,338/1,478,184 = 1,478,184/x
  3. Step 3: Cross multiply
    989,338x = 1,478,184 × 1,478,184
  4. Step 4: Simplify right side
    989,338x = 2,185,027,937,856
  5. Step 5: Solve for x
    x = 2,185,027,937,856/989,338
  6. Step 6: Final answer
    x = 2,208,575.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.