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Finding the Third Proportional to 736,706 and 1,586,768

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Solution

The third proportional to 736,706 and 1,586,768 is: 3,417,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,706 : 1,586,768 = 1,586,768 : x
  2. Step 2: Convert to fraction form
    736,706/1,586,768 = 1,586,768/x
  3. Step 3: Cross multiply
    736,706x = 1,586,768 × 1,586,768
  4. Step 4: Simplify right side
    736,706x = 2,517,832,685,824
  5. Step 5: Solve for x
    x = 2,517,832,685,824/736,706
  6. Step 6: Final answer
    x = 3,417,689.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.