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Finding the Third Proportional to 983,038 and 1,328,142

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Solution

The third proportional to 983,038 and 1,328,142 is: 1,794,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,038 : 1,328,142 = 1,328,142 : x
  2. Step 2: Convert to fraction form
    983,038/1,328,142 = 1,328,142/x
  3. Step 3: Cross multiply
    983,038x = 1,328,142 × 1,328,142
  4. Step 4: Simplify right side
    983,038x = 1,763,961,172,164
  5. Step 5: Solve for x
    x = 1,763,961,172,164/983,038
  6. Step 6: Final answer
    x = 1,794,397.75

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.