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Finding the Third Proportional to 772,269.19 and 1,677,403.69

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Solution

The third proportional to 772,269.19 and 1,677,403.69 is: 3,643,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,269.19 : 1,677,403.69 = 1,677,403.69 : x
  2. Step 2: Convert to fraction form
    772,269.19/1,677,403.69 = 1,677,403.69/x
  3. Step 3: Cross multiply
    772,269.19x = 1,677,403.69 × 1,677,403.69
  4. Step 4: Simplify right side
    772,269.19x = 2,813,683,130,838.60
  5. Step 5: Solve for x
    x = 2,813,683,130,838.60/772,269.19
  6. Step 6: Final answer
    x = 3,643,396.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.