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Finding the Third Proportional to 2,249,798 and 4,949,848

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Solution

The third proportional to 2,249,798 and 4,949,848 is: 10,890,308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249,798 : 4,949,848 = 4,949,848 : x
  2. Step 2: Convert to fraction form
    2,249,798/4,949,848 = 4,949,848/x
  3. Step 3: Cross multiply
    2,249,798x = 4,949,848 × 4,949,848
  4. Step 4: Simplify right side
    2,249,798x = 24,500,995,223,104
  5. Step 5: Solve for x
    x = 24,500,995,223,104/2,249,798
  6. Step 6: Final answer
    x = 10,890,308.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.