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Finding the Third Proportional to 780,108.19 and 1,237,807.69

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Solution

The third proportional to 780,108.19 and 1,237,807.69 is: 1,964,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,108.19 : 1,237,807.69 = 1,237,807.69 : x
  2. Step 2: Convert to fraction form
    780,108.19/1,237,807.69 = 1,237,807.69/x
  3. Step 3: Cross multiply
    780,108.19x = 1,237,807.69 × 1,237,807.69
  4. Step 4: Simplify right side
    780,108.19x = 1,532,167,871,234.10
  5. Step 5: Solve for x
    x = 1,532,167,871,234.10/780,108.19
  6. Step 6: Final answer
    x = 1,964,045.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.