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Finding the Third Proportional to 311,590,862 and 674,888,143

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Solution

The third proportional to 311,590,862 and 674,888,143 is: 1,461,769,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,590,862 : 674,888,143 = 674,888,143 : x
  2. Step 2: Convert to fraction form
    311,590,862/674,888,143 = 674,888,143/x
  3. Step 3: Cross multiply
    311,590,862x = 674,888,143 × 674,888,143
  4. Step 4: Simplify right side
    311,590,862x = 455,474,005,561,988,480
  5. Step 5: Solve for x
    x = 455,474,005,561,988,480/311,590,862
  6. Step 6: Final answer
    x = 1,461,769,458.32

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