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Finding the Third Proportional to 1,326,432 and 2,842,134

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Solution

The third proportional to 1,326,432 and 2,842,134 is: 6,089,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326,432 : 2,842,134 = 2,842,134 : x
  2. Step 2: Convert to fraction form
    1,326,432/2,842,134 = 2,842,134/x
  3. Step 3: Cross multiply
    1,326,432x = 2,842,134 × 2,842,134
  4. Step 4: Simplify right side
    1,326,432x = 8,077,725,673,956
  5. Step 5: Solve for x
    x = 8,077,725,673,956/1,326,432
  6. Step 6: Final answer
    x = 6,089,815.14

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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.