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Finding the Third Proportional to 780,720 and 1,164,583

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Solution

The third proportional to 780,720 and 1,164,583 is: 1,737,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,720 : 1,164,583 = 1,164,583 : x
  2. Step 2: Convert to fraction form
    780,720/1,164,583 = 1,164,583/x
  3. Step 3: Cross multiply
    780,720x = 1,164,583 × 1,164,583
  4. Step 4: Simplify right side
    780,720x = 1,356,253,563,889
  5. Step 5: Solve for x
    x = 1,356,253,563,889/780,720
  6. Step 6: Final answer
    x = 1,737,183.07

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