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Finding the Third Proportional to 745,578 and 1,595,646

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Solution

The third proportional to 745,578 and 1,595,646 is: 3,414,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,578 : 1,595,646 = 1,595,646 : x
  2. Step 2: Convert to fraction form
    745,578/1,595,646 = 1,595,646/x
  3. Step 3: Cross multiply
    745,578x = 1,595,646 × 1,595,646
  4. Step 4: Simplify right side
    745,578x = 2,546,086,157,316
  5. Step 5: Solve for x
    x = 2,546,086,157,316/745,578
  6. Step 6: Final answer
    x = 3,414,915.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.