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Finding the Third Proportional to 986,230.69 and 1,475,359.31

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Solution

The third proportional to 986,230.69 and 1,475,359.31 is: 2,207,075.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,230.69 : 1,475,359.31 = 1,475,359.31 : x
  2. Step 2: Convert to fraction form
    986,230.69/1,475,359.31 = 1,475,359.31/x
  3. Step 3: Cross multiply
    986,230.69x = 1,475,359.31 × 1,475,359.31
  4. Step 4: Simplify right side
    986,230.69x = 2,176,685,100,980.47
  5. Step 5: Solve for x
    x = 2,176,685,100,980.47/986,230.69
  6. Step 6: Final answer
    x = 2,207,075.01

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