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Finding the Third Proportional to 1,410,208 and 2,148,352

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Solution

The third proportional to 1,410,208 and 2,148,352 is: 3,272,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,208 : 2,148,352 = 2,148,352 : x
  2. Step 2: Convert to fraction form
    1,410,208/2,148,352 = 2,148,352/x
  3. Step 3: Cross multiply
    1,410,208x = 2,148,352 × 2,148,352
  4. Step 4: Simplify right side
    1,410,208x = 4,615,416,315,904
  5. Step 5: Solve for x
    x = 4,615,416,315,904/1,410,208
  6. Step 6: Final answer
    x = 3,272,862.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.