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Finding the Third Proportional to 875,520 and 1,257,984

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Solution

The third proportional to 875,520 and 1,257,984 is: 1,807,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,520 : 1,257,984 = 1,257,984 : x
  2. Step 2: Convert to fraction form
    875,520/1,257,984 = 1,257,984/x
  3. Step 3: Cross multiply
    875,520x = 1,257,984 × 1,257,984
  4. Step 4: Simplify right side
    875,520x = 1,582,523,744,256
  5. Step 5: Solve for x
    x = 1,582,523,744,256/875,520
  6. Step 6: Final answer
    x = 1,807,524.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.