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Finding the Third Proportional to 1,864,824 and 4,121,724

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Solution

The third proportional to 1,864,824 and 4,121,724 is: 9,110,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864,824 : 4,121,724 = 4,121,724 : x
  2. Step 2: Convert to fraction form
    1,864,824/4,121,724 = 4,121,724/x
  3. Step 3: Cross multiply
    1,864,824x = 4,121,724 × 4,121,724
  4. Step 4: Simplify right side
    1,864,824x = 16,988,608,732,176
  5. Step 5: Solve for x
    x = 16,988,608,732,176/1,864,824
  6. Step 6: Final answer
    x = 9,110,033.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.