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Finding the Third Proportional to 553,850 and 1,201,012

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Solution

The third proportional to 553,850 and 1,201,012 is: 2,604,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,850 : 1,201,012 = 1,201,012 : x
  2. Step 2: Convert to fraction form
    553,850/1,201,012 = 1,201,012/x
  3. Step 3: Cross multiply
    553,850x = 1,201,012 × 1,201,012
  4. Step 4: Simplify right side
    553,850x = 1,442,429,824,144
  5. Step 5: Solve for x
    x = 1,442,429,824,144/553,850
  6. Step 6: Final answer
    x = 2,604,369.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.