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Finding the Third Proportional to 550,724 and 1,205,128

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Solution

The third proportional to 550,724 and 1,205,128 is: 2,637,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,724 : 1,205,128 = 1,205,128 : x
  2. Step 2: Convert to fraction form
    550,724/1,205,128 = 1,205,128/x
  3. Step 3: Cross multiply
    550,724x = 1,205,128 × 1,205,128
  4. Step 4: Simplify right side
    550,724x = 1,452,333,496,384
  5. Step 5: Solve for x
    x = 1,452,333,496,384/550,724
  6. Step 6: Final answer
    x = 2,637,134.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.