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Finding the Third Proportional to 736,685 and 1,039,827

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Solution

The third proportional to 736,685 and 1,039,827 is: 1,467,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,685 : 1,039,827 = 1,039,827 : x
  2. Step 2: Convert to fraction form
    736,685/1,039,827 = 1,039,827/x
  3. Step 3: Cross multiply
    736,685x = 1,039,827 × 1,039,827
  4. Step 4: Simplify right side
    736,685x = 1,081,240,189,929
  5. Step 5: Solve for x
    x = 1,081,240,189,929/736,685
  6. Step 6: Final answer
    x = 1,467,710.34

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.