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Finding the Third Proportional to 1,807,677 and 2,478,721.50

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Solution

The third proportional to 1,807,677 and 2,478,721.50 is: 3,398,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807,677 : 2,478,721.50 = 2,478,721.50 : x
  2. Step 2: Convert to fraction form
    1,807,677/2,478,721.50 = 2,478,721.50/x
  3. Step 3: Cross multiply
    1,807,677x = 2,478,721.50 × 2,478,721.50
  4. Step 4: Simplify right side
    1,807,677x = 6,144,060,274,562.25
  5. Step 5: Solve for x
    x = 6,144,060,274,562.25/1,807,677
  6. Step 6: Final answer
    x = 3,398,870.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.