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Finding the Third Proportional to 1,047,833.50 and 2,291,822

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Solution

The third proportional to 1,047,833.50 and 2,291,822 is: 5,012,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,833.50 : 2,291,822 = 2,291,822 : x
  2. Step 2: Convert to fraction form
    1,047,833.50/2,291,822 = 2,291,822/x
  3. Step 3: Cross multiply
    1,047,833.50x = 2,291,822 × 2,291,822
  4. Step 4: Simplify right side
    1,047,833.50x = 5,252,448,079,684
  5. Step 5: Solve for x
    x = 5,252,448,079,684/1,047,833.50
  6. Step 6: Final answer
    x = 5,012,674.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.