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Finding the Third Proportional to 945,403 and 2,023,697

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Solution

The third proportional to 945,403 and 2,023,697 is: 4,331,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,403 : 2,023,697 = 2,023,697 : x
  2. Step 2: Convert to fraction form
    945,403/2,023,697 = 2,023,697/x
  3. Step 3: Cross multiply
    945,403x = 2,023,697 × 2,023,697
  4. Step 4: Simplify right side
    945,403x = 4,095,349,547,809
  5. Step 5: Solve for x
    x = 4,095,349,547,809/945,403
  6. Step 6: Final answer
    x = 4,331,855.88

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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.