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Finding the Third Proportional to 714,615 and 1,569,212

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Solution

The third proportional to 714,615 and 1,569,212 is: 3,445,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,615 : 1,569,212 = 1,569,212 : x
  2. Step 2: Convert to fraction form
    714,615/1,569,212 = 1,569,212/x
  3. Step 3: Cross multiply
    714,615x = 1,569,212 × 1,569,212
  4. Step 4: Simplify right side
    714,615x = 2,462,426,300,944
  5. Step 5: Solve for x
    x = 2,462,426,300,944/714,615
  6. Step 6: Final answer
    x = 3,445,808.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.