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Finding the Third Proportional to 605,930,821 and 1,325,235,506

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Solution

The third proportional to 605,930,821 and 1,325,235,506 is: 2,898,431,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,930,821 : 1,325,235,506 = 1,325,235,506 : x
  2. Step 2: Convert to fraction form
    605,930,821/1,325,235,506 = 1,325,235,506/x
  3. Step 3: Cross multiply
    605,930,821x = 1,325,235,506 × 1,325,235,506
  4. Step 4: Simplify right side
    605,930,821x = 1,756,249,146,363,076,096
  5. Step 5: Solve for x
    x = 1,756,249,146,363,076,096/605,930,821
  6. Step 6: Final answer
    x = 2,898,431,777.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.