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Finding the Third Proportional to 846,441,675 and 1,307,403,819

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Solution

The third proportional to 846,441,675 and 1,307,403,819 is: 2,019,400,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,441,675 : 1,307,403,819 = 1,307,403,819 : x
  2. Step 2: Convert to fraction form
    846,441,675/1,307,403,819 = 1,307,403,819/x
  3. Step 3: Cross multiply
    846,441,675x = 1,307,403,819 × 1,307,403,819
  4. Step 4: Simplify right side
    846,441,675x = 1,709,304,745,935,784,704
  5. Step 5: Solve for x
    x = 1,709,304,745,935,784,704/846,441,675
  6. Step 6: Final answer
    x = 2,019,400,504.99

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