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Finding the Third Proportional to 553,126 and 1,206,364

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Solution

The third proportional to 553,126 and 1,206,364 is: 2,631,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,126 : 1,206,364 = 1,206,364 : x
  2. Step 2: Convert to fraction form
    553,126/1,206,364 = 1,206,364/x
  3. Step 3: Cross multiply
    553,126x = 1,206,364 × 1,206,364
  4. Step 4: Simplify right side
    553,126x = 1,455,314,100,496
  5. Step 5: Solve for x
    x = 1,455,314,100,496/553,126
  6. Step 6: Final answer
    x = 2,631,071.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.