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Finding the Third Proportional to 842,788 and 1,784,696

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Solution

The third proportional to 842,788 and 1,784,696 is: 3,779,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,788 : 1,784,696 = 1,784,696 : x
  2. Step 2: Convert to fraction form
    842,788/1,784,696 = 1,784,696/x
  3. Step 3: Cross multiply
    842,788x = 1,784,696 × 1,784,696
  4. Step 4: Simplify right side
    842,788x = 3,185,139,812,416
  5. Step 5: Solve for x
    x = 3,185,139,812,416/842,788
  6. Step 6: Final answer
    x = 3,779,289.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.