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Finding the Third Proportional to 780,694 and 1,164,564

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Solution

The third proportional to 780,694 and 1,164,564 is: 1,737,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,694 : 1,164,564 = 1,164,564 : x
  2. Step 2: Convert to fraction form
    780,694/1,164,564 = 1,164,564/x
  3. Step 3: Cross multiply
    780,694x = 1,164,564 × 1,164,564
  4. Step 4: Simplify right side
    780,694x = 1,356,209,310,096
  5. Step 5: Solve for x
    x = 1,356,209,310,096/780,694
  6. Step 6: Final answer
    x = 1,737,184.24

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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.