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Finding the Third Proportional to 581,419,120.50 and 893,683,226.25

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Solution

The third proportional to 581,419,120.50 and 893,683,226.25 is: 1,373,655,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,419,120.50 : 893,683,226.25 = 893,683,226.25 : x
  2. Step 2: Convert to fraction form
    581,419,120.50/893,683,226.25 = 893,683,226.25/x
  3. Step 3: Cross multiply
    581,419,120.50x = 893,683,226.25 × 893,683,226.25
  4. Step 4: Simplify right side
    581,419,120.50x = 798,669,708,880,608,640
  5. Step 5: Solve for x
    x = 798,669,708,880,608,640/581,419,120.50
  6. Step 6: Final answer
    x = 1,373,655,734.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.