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Finding the Third Proportional to 1,410,196 and 2,148,342

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Solution

The third proportional to 1,410,196 and 2,148,342 is: 3,272,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,196 : 2,148,342 = 2,148,342 : x
  2. Step 2: Convert to fraction form
    1,410,196/2,148,342 = 2,148,342/x
  3. Step 3: Cross multiply
    1,410,196x = 2,148,342 × 2,148,342
  4. Step 4: Simplify right side
    1,410,196x = 4,615,373,348,964
  5. Step 5: Solve for x
    x = 4,615,373,348,964/1,410,196
  6. Step 6: Final answer
    x = 3,272,859.48

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