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Finding the Third Proportional to 779,052 and 1,173,706.50

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Solution

The third proportional to 779,052 and 1,173,706.50 is: 1,768,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,052 : 1,173,706.50 = 1,173,706.50 : x
  2. Step 2: Convert to fraction form
    779,052/1,173,706.50 = 1,173,706.50/x
  3. Step 3: Cross multiply
    779,052x = 1,173,706.50 × 1,173,706.50
  4. Step 4: Simplify right side
    779,052x = 1,377,586,948,142.25
  5. Step 5: Solve for x
    x = 1,377,586,948,142.25/779,052
  6. Step 6: Final answer
    x = 1,768,286.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.