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Finding the Third Proportional to 1,976,942.25 and 4,316,440.50

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Solution

The third proportional to 1,976,942.25 and 4,316,440.50 is: 9,424,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976,942.25 : 4,316,440.50 = 4,316,440.50 : x
  2. Step 2: Convert to fraction form
    1,976,942.25/4,316,440.50 = 4,316,440.50/x
  3. Step 3: Cross multiply
    1,976,942.25x = 4,316,440.50 × 4,316,440.50
  4. Step 4: Simplify right side
    1,976,942.25x = 18,631,658,590,040.25
  5. Step 5: Solve for x
    x = 18,631,658,590,040.25/1,976,942.25
  6. Step 6: Final answer
    x = 9,424,482.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.