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Finding the Third Proportional to 1,913,616 and 4,101,984

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Solution

The third proportional to 1,913,616 and 4,101,984 is: 8,792,920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,616 : 4,101,984 = 4,101,984 : x
  2. Step 2: Convert to fraction form
    1,913,616/4,101,984 = 4,101,984/x
  3. Step 3: Cross multiply
    1,913,616x = 4,101,984 × 4,101,984
  4. Step 4: Simplify right side
    1,913,616x = 16,826,272,736,256
  5. Step 5: Solve for x
    x = 16,826,272,736,256/1,913,616
  6. Step 6: Final answer
    x = 8,792,920.18

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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.