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Finding the Third Proportional to 1,155,373.88 and 2,345,739.75

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Solution

The third proportional to 1,155,373.88 and 2,345,739.75 is: 4,762,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155,373.88 : 2,345,739.75 = 2,345,739.75 : x
  2. Step 2: Convert to fraction form
    1,155,373.88/2,345,739.75 = 2,345,739.75/x
  3. Step 3: Cross multiply
    1,155,373.88x = 2,345,739.75 × 2,345,739.75
  4. Step 4: Simplify right side
    1,155,373.88x = 5,502,494,974,730.06
  5. Step 5: Solve for x
    x = 5,502,494,974,730.06/1,155,373.88
  6. Step 6: Final answer
    x = 4,762,523.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.