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Finding the Third Proportional to 653,616 and 1,027,128

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Solution

The third proportional to 653,616 and 1,027,128 is: 1,614,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,616 : 1,027,128 = 1,027,128 : x
  2. Step 2: Convert to fraction form
    653,616/1,027,128 = 1,027,128/x
  3. Step 3: Cross multiply
    653,616x = 1,027,128 × 1,027,128
  4. Step 4: Simplify right side
    653,616x = 1,054,991,928,384
  5. Step 5: Solve for x
    x = 1,054,991,928,384/653,616
  6. Step 6: Final answer
    x = 1,614,085.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.