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Finding the Third Proportional to 1,989,766 and 4,263,386.50

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Solution

The third proportional to 1,989,766 and 4,263,386.50 is: 9,134,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989,766 : 4,263,386.50 = 4,263,386.50 : x
  2. Step 2: Convert to fraction form
    1,989,766/4,263,386.50 = 4,263,386.50/x
  3. Step 3: Cross multiply
    1,989,766x = 4,263,386.50 × 4,263,386.50
  4. Step 4: Simplify right side
    1,989,766x = 18,176,464,448,382.25
  5. Step 5: Solve for x
    x = 18,176,464,448,382.25/1,989,766
  6. Step 6: Final answer
    x = 9,134,975.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.