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Finding the Third Proportional to 986,015 and 1,409,038

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Solution

The third proportional to 986,015 and 1,409,038 is: 2,013,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,015 : 1,409,038 = 1,409,038 : x
  2. Step 2: Convert to fraction form
    986,015/1,409,038 = 1,409,038/x
  3. Step 3: Cross multiply
    986,015x = 1,409,038 × 1,409,038
  4. Step 4: Simplify right side
    986,015x = 1,985,388,085,444
  5. Step 5: Solve for x
    x = 1,985,388,085,444/986,015
  6. Step 6: Final answer
    x = 2,013,547.55

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.