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Finding the Third Proportional to 1,977,048 and 4,283,786.25

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Solution

The third proportional to 1,977,048 and 4,283,786.25 is: 9,281,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,048 : 4,283,786.25 = 4,283,786.25 : x
  2. Step 2: Convert to fraction form
    1,977,048/4,283,786.25 = 4,283,786.25/x
  3. Step 3: Cross multiply
    1,977,048x = 4,283,786.25 × 4,283,786.25
  4. Step 4: Simplify right side
    1,977,048x = 18,350,824,635,689.06
  5. Step 5: Solve for x
    x = 18,350,824,635,689.06/1,977,048
  6. Step 6: Final answer
    x = 9,281,931.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.