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Finding the Third Proportional to 1,832,656 and 3,791,024

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Solution

The third proportional to 1,832,656 and 3,791,024 is: 7,842,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,656 : 3,791,024 = 3,791,024 : x
  2. Step 2: Convert to fraction form
    1,832,656/3,791,024 = 3,791,024/x
  3. Step 3: Cross multiply
    1,832,656x = 3,791,024 × 3,791,024
  4. Step 4: Simplify right side
    1,832,656x = 14,371,862,968,576
  5. Step 5: Solve for x
    x = 14,371,862,968,576/1,832,656
  6. Step 6: Final answer
    x = 7,842,095.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.