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Finding the Third Proportional to 785,322 and 1,245,537

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Solution

The third proportional to 785,322 and 1,245,537 is: 1,975,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,322 : 1,245,537 = 1,245,537 : x
  2. Step 2: Convert to fraction form
    785,322/1,245,537 = 1,245,537/x
  3. Step 3: Cross multiply
    785,322x = 1,245,537 × 1,245,537
  4. Step 4: Simplify right side
    785,322x = 1,551,362,418,369
  5. Step 5: Solve for x
    x = 1,551,362,418,369/785,322
  6. Step 6: Final answer
    x = 1,975,447.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.