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Finding the Third Proportional to 2,447,384 and 5,249,052

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Solution

The third proportional to 2,447,384 and 5,249,052 is: 11,257,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,384 : 5,249,052 = 5,249,052 : x
  2. Step 2: Convert to fraction form
    2,447,384/5,249,052 = 5,249,052/x
  3. Step 3: Cross multiply
    2,447,384x = 5,249,052 × 5,249,052
  4. Step 4: Simplify right side
    2,447,384x = 27,552,546,898,704
  5. Step 5: Solve for x
    x = 27,552,546,898,704/2,447,384
  6. Step 6: Final answer
    x = 11,257,958.25

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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.