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Finding the Third Proportional to 654,878 and 1,431,487

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Solution

The third proportional to 654,878 and 1,431,487 is: 3,129,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,878 : 1,431,487 = 1,431,487 : x
  2. Step 2: Convert to fraction form
    654,878/1,431,487 = 1,431,487/x
  3. Step 3: Cross multiply
    654,878x = 1,431,487 × 1,431,487
  4. Step 4: Simplify right side
    654,878x = 2,049,155,031,169
  5. Step 5: Solve for x
    x = 2,049,155,031,169/654,878
  6. Step 6: Final answer
    x = 3,129,063.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.