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Finding the Third Proportional to 1,302,480 and 2,777,004

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Solution

The third proportional to 1,302,480 and 2,777,004 is: 5,920,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,480 : 2,777,004 = 2,777,004 : x
  2. Step 2: Convert to fraction form
    1,302,480/2,777,004 = 2,777,004/x
  3. Step 3: Cross multiply
    1,302,480x = 2,777,004 × 2,777,004
  4. Step 4: Simplify right side
    1,302,480x = 7,711,751,216,016
  5. Step 5: Solve for x
    x = 7,711,751,216,016/1,302,480
  6. Step 6: Final answer
    x = 5,920,821.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.