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Finding the Third Proportional to 802,339 and 1,742,998

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Solution

The third proportional to 802,339 and 1,742,998 is: 3,786,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,339 : 1,742,998 = 1,742,998 : x
  2. Step 2: Convert to fraction form
    802,339/1,742,998 = 1,742,998/x
  3. Step 3: Cross multiply
    802,339x = 1,742,998 × 1,742,998
  4. Step 4: Simplify right side
    802,339x = 3,038,042,028,004
  5. Step 5: Solve for x
    x = 3,038,042,028,004/802,339
  6. Step 6: Final answer
    x = 3,786,481.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.