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Finding the Third Proportional to 1,817,241.75 and 3,822,835.50

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Solution

The third proportional to 1,817,241.75 and 3,822,835.50 is: 8,041,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,241.75 : 3,822,835.50 = 3,822,835.50 : x
  2. Step 2: Convert to fraction form
    1,817,241.75/3,822,835.50 = 3,822,835.50/x
  3. Step 3: Cross multiply
    1,817,241.75x = 3,822,835.50 × 3,822,835.50
  4. Step 4: Simplify right side
    1,817,241.75x = 14,614,071,260,060.25
  5. Step 5: Solve for x
    x = 14,614,071,260,060.25/1,817,241.75
  6. Step 6: Final answer
    x = 8,041,897.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.