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Finding the Third Proportional to 983,436 and 1,484,196

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Solution

The third proportional to 983,436 and 1,484,196 is: 2,239,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,436 : 1,484,196 = 1,484,196 : x
  2. Step 2: Convert to fraction form
    983,436/1,484,196 = 1,484,196/x
  3. Step 3: Cross multiply
    983,436x = 1,484,196 × 1,484,196
  4. Step 4: Simplify right side
    983,436x = 2,202,837,766,416
  5. Step 5: Solve for x
    x = 2,202,837,766,416/983,436
  6. Step 6: Final answer
    x = 2,239,940.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.