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Finding the Third Proportional to 784,610.93 and 1,211,877.07

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Solution

The third proportional to 784,610.93 and 1,211,877.07 is: 1,871,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,610.93 : 1,211,877.07 = 1,211,877.07 : x
  2. Step 2: Convert to fraction form
    784,610.93/1,211,877.07 = 1,211,877.07/x
  3. Step 3: Cross multiply
    784,610.93x = 1,211,877.07 × 1,211,877.07
  4. Step 4: Simplify right side
    784,610.93x = 1,468,646,033,549.21
  5. Step 5: Solve for x
    x = 1,468,646,033,549.21/784,610.93
  6. Step 6: Final answer
    x = 1,871,814.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.