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Finding the Third Proportional to 1,585,158 and 3,460,044

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Solution

The third proportional to 1,585,158 and 3,460,044 is: 7,552,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,158 : 3,460,044 = 3,460,044 : x
  2. Step 2: Convert to fraction form
    1,585,158/3,460,044 = 3,460,044/x
  3. Step 3: Cross multiply
    1,585,158x = 3,460,044 × 3,460,044
  4. Step 4: Simplify right side
    1,585,158x = 11,971,904,481,936
  5. Step 5: Solve for x
    x = 11,971,904,481,936/1,585,158
  6. Step 6: Final answer
    x = 7,552,499.17

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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.