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Finding the Third Proportional to 1,016,988 and 1,381,196

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Solution

The third proportional to 1,016,988 and 1,381,196 is: 1,875,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,988 : 1,381,196 = 1,381,196 : x
  2. Step 2: Convert to fraction form
    1,016,988/1,381,196 = 1,381,196/x
  3. Step 3: Cross multiply
    1,016,988x = 1,381,196 × 1,381,196
  4. Step 4: Simplify right side
    1,016,988x = 1,907,702,390,416
  5. Step 5: Solve for x
    x = 1,907,702,390,416/1,016,988
  6. Step 6: Final answer
    x = 1,875,835.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.