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Finding the Third Proportional to 824,584 and 1,773,828

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Solution

The third proportional to 824,584 and 1,773,828 is: 3,815,822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,584 : 1,773,828 = 1,773,828 : x
  2. Step 2: Convert to fraction form
    824,584/1,773,828 = 1,773,828/x
  3. Step 3: Cross multiply
    824,584x = 1,773,828 × 1,773,828
  4. Step 4: Simplify right side
    824,584x = 3,146,465,773,584
  5. Step 5: Solve for x
    x = 3,146,465,773,584/824,584
  6. Step 6: Final answer
    x = 3,815,822.01

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Why These Related Problems?

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