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Finding the Third Proportional to 473,134,311 and 1,035,461,589

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Solution

The third proportional to 473,134,311 and 1,035,461,589 is: 2,266,123,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,134,311 : 1,035,461,589 = 1,035,461,589 : x
  2. Step 2: Convert to fraction form
    473,134,311/1,035,461,589 = 1,035,461,589/x
  3. Step 3: Cross multiply
    473,134,311x = 1,035,461,589 × 1,035,461,589
  4. Step 4: Simplify right side
    473,134,311x = 1,072,180,702,294,404,864
  5. Step 5: Solve for x
    x = 1,072,180,702,294,404,864/473,134,311
  6. Step 6: Final answer
    x = 2,266,123,334.05

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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.