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Finding the Third Proportional to 780,723 and 1,164,586

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Solution

The third proportional to 780,723 and 1,164,586 is: 1,737,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,723 : 1,164,586 = 1,164,586 : x
  2. Step 2: Convert to fraction form
    780,723/1,164,586 = 1,164,586/x
  3. Step 3: Cross multiply
    780,723x = 1,164,586 × 1,164,586
  4. Step 4: Simplify right side
    780,723x = 1,356,260,551,396
  5. Step 5: Solve for x
    x = 1,356,260,551,396/780,723
  6. Step 6: Final answer
    x = 1,737,185.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.