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Finding the Third Proportional to 986,032 and 1,409,048

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Solution

The third proportional to 986,032 and 1,409,048 is: 2,013,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,032 : 1,409,048 = 1,409,048 : x
  2. Step 2: Convert to fraction form
    986,032/1,409,048 = 1,409,048/x
  3. Step 3: Cross multiply
    986,032x = 1,409,048 × 1,409,048
  4. Step 4: Simplify right side
    986,032x = 1,985,416,266,304
  5. Step 5: Solve for x
    x = 1,985,416,266,304/986,032
  6. Step 6: Final answer
    x = 2,013,541.41

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Why These Related Problems?

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