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Finding the Third Proportional to 603,424 and 1,248,584

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Solution

The third proportional to 603,424 and 1,248,584 is: 2,583,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,424 : 1,248,584 = 1,248,584 : x
  2. Step 2: Convert to fraction form
    603,424/1,248,584 = 1,248,584/x
  3. Step 3: Cross multiply
    603,424x = 1,248,584 × 1,248,584
  4. Step 4: Simplify right side
    603,424x = 1,558,962,005,056
  5. Step 5: Solve for x
    x = 1,558,962,005,056/603,424
  6. Step 6: Final answer
    x = 2,583,526.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.