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Finding the Third Proportional to 2,884,826 and 4,484,649

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Solution

The third proportional to 2,884,826 and 4,484,649 is: 6,971,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884,826 : 4,484,649 = 4,484,649 : x
  2. Step 2: Convert to fraction form
    2,884,826/4,484,649 = 4,484,649/x
  3. Step 3: Cross multiply
    2,884,826x = 4,484,649 × 4,484,649
  4. Step 4: Simplify right side
    2,884,826x = 20,112,076,653,201
  5. Step 5: Solve for x
    x = 20,112,076,653,201/2,884,826
  6. Step 6: Final answer
    x = 6,971,677.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.