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Finding the Third Proportional to 745,010 and 1,153,325

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Solution

The third proportional to 745,010 and 1,153,325 is: 1,785,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,010 : 1,153,325 = 1,153,325 : x
  2. Step 2: Convert to fraction form
    745,010/1,153,325 = 1,153,325/x
  3. Step 3: Cross multiply
    745,010x = 1,153,325 × 1,153,325
  4. Step 4: Simplify right side
    745,010x = 1,330,158,555,625
  5. Step 5: Solve for x
    x = 1,330,158,555,625/745,010
  6. Step 6: Final answer
    x = 1,785,423.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.