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Finding the Third Proportional to 736,708 and 1,137,606

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Solution

The third proportional to 736,708 and 1,137,606 is: 1,756,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,708 : 1,137,606 = 1,137,606 : x
  2. Step 2: Convert to fraction form
    736,708/1,137,606 = 1,137,606/x
  3. Step 3: Cross multiply
    736,708x = 1,137,606 × 1,137,606
  4. Step 4: Simplify right side
    736,708x = 1,294,147,411,236
  5. Step 5: Solve for x
    x = 1,294,147,411,236/736,708
  6. Step 6: Final answer
    x = 1,756,662.63

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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.