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Finding the Third Proportional to 1,346,324 and 2,881,807

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Solution

The third proportional to 1,346,324 and 2,881,807 is: 6,168,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,324 : 2,881,807 = 2,881,807 : x
  2. Step 2: Convert to fraction form
    1,346,324/2,881,807 = 2,881,807/x
  3. Step 3: Cross multiply
    1,346,324x = 2,881,807 × 2,881,807
  4. Step 4: Simplify right side
    1,346,324x = 8,304,811,585,249
  5. Step 5: Solve for x
    x = 8,304,811,585,249/1,346,324
  6. Step 6: Final answer
    x = 6,168,508.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.