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Finding the Third Proportional to 826,603,442 and 1,784,701,525

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Solution

The third proportional to 826,603,442 and 1,784,701,525 is: 3,853,310,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,603,442 : 1,784,701,525 = 1,784,701,525 : x
  2. Step 2: Convert to fraction form
    826,603,442/1,784,701,525 = 1,784,701,525/x
  3. Step 3: Cross multiply
    826,603,442x = 1,784,701,525 × 1,784,701,525
  4. Step 4: Simplify right side
    826,603,442x = 3,185,159,533,337,325,568
  5. Step 5: Solve for x
    x = 3,185,159,533,337,325,568/826,603,442
  6. Step 6: Final answer
    x = 3,853,310,271.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.