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Finding the Third Proportional to 648,412 and 1,041,823

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Solution

The third proportional to 648,412 and 1,041,823 is: 1,673,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,412 : 1,041,823 = 1,041,823 : x
  2. Step 2: Convert to fraction form
    648,412/1,041,823 = 1,041,823/x
  3. Step 3: Cross multiply
    648,412x = 1,041,823 × 1,041,823
  4. Step 4: Simplify right side
    648,412x = 1,085,395,163,329
  5. Step 5: Solve for x
    x = 1,085,395,163,329/648,412
  6. Step 6: Final answer
    x = 1,673,928.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.