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Finding the Third Proportional to 553,832 and 1,210,168

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Solution

The third proportional to 553,832 and 1,210,168 is: 2,644,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,832 : 1,210,168 = 1,210,168 : x
  2. Step 2: Convert to fraction form
    553,832/1,210,168 = 1,210,168/x
  3. Step 3: Cross multiply
    553,832x = 1,210,168 × 1,210,168
  4. Step 4: Simplify right side
    553,832x = 1,464,506,588,224
  5. Step 5: Solve for x
    x = 1,464,506,588,224/553,832
  6. Step 6: Final answer
    x = 2,644,315.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.