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Finding the Third Proportional to 1,588,023 and 3,461,544

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Solution

The third proportional to 1,588,023 and 3,461,544 is: 7,545,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,023 : 3,461,544 = 3,461,544 : x
  2. Step 2: Convert to fraction form
    1,588,023/3,461,544 = 3,461,544/x
  3. Step 3: Cross multiply
    1,588,023x = 3,461,544 × 3,461,544
  4. Step 4: Simplify right side
    1,588,023x = 11,982,286,863,936
  5. Step 5: Solve for x
    x = 11,982,286,863,936/1,588,023
  6. Step 6: Final answer
    x = 7,545,411.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.