Home / 410,147,190.56-586,090,793.81

Finding the Third Proportional to 410,147,190.56 and 586,090,793.81

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Solution

The third proportional to 410,147,190.56 and 586,090,793.81 is: 837,510,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147,190.56 : 586,090,793.81 = 586,090,793.81 : x
  2. Step 2: Convert to fraction form
    410,147,190.56/586,090,793.81 = 586,090,793.81/x
  3. Step 3: Cross multiply
    410,147,190.56x = 586,090,793.81 × 586,090,793.81
  4. Step 4: Simplify right side
    410,147,190.56x = 343,502,418,591,766,400
  5. Step 5: Solve for x
    x = 343,502,418,591,766,400/410,147,190.56
  6. Step 6: Final answer
    x = 837,510,109.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.