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Finding the Third Proportional to 780,718 and 1,164,580

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Solution

The third proportional to 780,718 and 1,164,580 is: 1,737,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,718 : 1,164,580 = 1,164,580 : x
  2. Step 2: Convert to fraction form
    780,718/1,164,580 = 1,164,580/x
  3. Step 3: Cross multiply
    780,718x = 1,164,580 × 1,164,580
  4. Step 4: Simplify right side
    780,718x = 1,356,246,576,400
  5. Step 5: Solve for x
    x = 1,356,246,576,400/780,718
  6. Step 6: Final answer
    x = 1,737,178.57

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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.