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Finding the Third Proportional to 1,326,436 and 2,842,142

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Solution

The third proportional to 1,326,436 and 2,842,142 is: 6,089,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326,436 : 2,842,142 = 2,842,142 : x
  2. Step 2: Convert to fraction form
    1,326,436/2,842,142 = 2,842,142/x
  3. Step 3: Cross multiply
    1,326,436x = 2,842,142 × 2,842,142
  4. Step 4: Simplify right side
    1,326,436x = 8,077,771,148,164
  5. Step 5: Solve for x
    x = 8,077,771,148,164/1,326,436
  6. Step 6: Final answer
    x = 6,089,831.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.