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Finding the Third Proportional to 2,705,686.50 and 4,045,407

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Solution

The third proportional to 2,705,686.50 and 4,045,407 is: 6,048,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705,686.50 : 4,045,407 = 4,045,407 : x
  2. Step 2: Convert to fraction form
    2,705,686.50/4,045,407 = 4,045,407/x
  3. Step 3: Cross multiply
    2,705,686.50x = 4,045,407 × 4,045,407
  4. Step 4: Simplify right side
    2,705,686.50x = 16,365,317,795,649
  5. Step 5: Solve for x
    x = 16,365,317,795,649/2,705,686.50
  6. Step 6: Final answer
    x = 6,048,490.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.