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Finding the Third Proportional to 1,400,935.50 and 2,921,356.13

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Solution

The third proportional to 1,400,935.50 and 2,921,356.13 is: 6,091,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,935.50 : 2,921,356.13 = 2,921,356.13 : x
  2. Step 2: Convert to fraction form
    1,400,935.50/2,921,356.13 = 2,921,356.13/x
  3. Step 3: Cross multiply
    1,400,935.50x = 2,921,356.13 × 2,921,356.13
  4. Step 4: Simplify right side
    1,400,935.50x = 8,534,321,609,075.02
  5. Step 5: Solve for x
    x = 8,534,321,609,075.02/1,400,935.50
  6. Step 6: Final answer
    x = 6,091,873.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.