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Finding the Third Proportional to 780,716 and 1,164,576

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Solution

The third proportional to 780,716 and 1,164,576 is: 1,737,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,716 : 1,164,576 = 1,164,576 : x
  2. Step 2: Convert to fraction form
    780,716/1,164,576 = 1,164,576/x
  3. Step 3: Cross multiply
    780,716x = 1,164,576 × 1,164,576
  4. Step 4: Simplify right side
    780,716x = 1,356,237,259,776
  5. Step 5: Solve for x
    x = 1,356,237,259,776/780,716
  6. Step 6: Final answer
    x = 1,737,171.08

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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.