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Finding the Third Proportional to 2,014,787 and 4,354,342

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Solution

The third proportional to 2,014,787 and 4,354,342 is: 9,410,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,787 : 4,354,342 = 4,354,342 : x
  2. Step 2: Convert to fraction form
    2,014,787/4,354,342 = 4,354,342/x
  3. Step 3: Cross multiply
    2,014,787x = 4,354,342 × 4,354,342
  4. Step 4: Simplify right side
    2,014,787x = 18,960,294,252,964
  5. Step 5: Solve for x
    x = 18,960,294,252,964/2,014,787
  6. Step 6: Final answer
    x = 9,410,570.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.