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Finding the Third Proportional to 553,998 and 1,190,756

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Solution

The third proportional to 553,998 and 1,190,756 is: 2,559,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,998 : 1,190,756 = 1,190,756 : x
  2. Step 2: Convert to fraction form
    553,998/1,190,756 = 1,190,756/x
  3. Step 3: Cross multiply
    553,998x = 1,190,756 × 1,190,756
  4. Step 4: Simplify right side
    553,998x = 1,417,899,851,536
  5. Step 5: Solve for x
    x = 1,417,899,851,536/553,998
  6. Step 6: Final answer
    x = 2,559,395.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.