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Finding the Third Proportional to 553,616 and 1,196,008

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Solution

The third proportional to 553,616 and 1,196,008 is: 2,583,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,616 : 1,196,008 = 1,196,008 : x
  2. Step 2: Convert to fraction form
    553,616/1,196,008 = 1,196,008/x
  3. Step 3: Cross multiply
    553,616x = 1,196,008 × 1,196,008
  4. Step 4: Simplify right side
    553,616x = 1,430,435,136,064
  5. Step 5: Solve for x
    x = 1,430,435,136,064/553,616
  6. Step 6: Final answer
    x = 2,583,803.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.