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Finding the Third Proportional to 479,412 and 1,043,352

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Solution

The third proportional to 479,412 and 1,043,352 is: 2,270,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,412 : 1,043,352 = 1,043,352 : x
  2. Step 2: Convert to fraction form
    479,412/1,043,352 = 1,043,352/x
  3. Step 3: Cross multiply
    479,412x = 1,043,352 × 1,043,352
  4. Step 4: Simplify right side
    479,412x = 1,088,583,395,904
  5. Step 5: Solve for x
    x = 1,088,583,395,904/479,412
  6. Step 6: Final answer
    x = 2,270,663.64

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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.