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Finding the Third Proportional to 580,784 and 1,245,642

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Solution

The third proportional to 580,784 and 1,245,642 is: 2,671,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,784 : 1,245,642 = 1,245,642 : x
  2. Step 2: Convert to fraction form
    580,784/1,245,642 = 1,245,642/x
  3. Step 3: Cross multiply
    580,784x = 1,245,642 × 1,245,642
  4. Step 4: Simplify right side
    580,784x = 1,551,623,992,164
  5. Step 5: Solve for x
    x = 1,551,623,992,164/580,784
  6. Step 6: Final answer
    x = 2,671,602.51

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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.