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Finding the Third Proportional to 633,615 and 1,312,143

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Solution

The third proportional to 633,615 and 1,312,143 is: 2,717,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,615 : 1,312,143 = 1,312,143 : x
  2. Step 2: Convert to fraction form
    633,615/1,312,143 = 1,312,143/x
  3. Step 3: Cross multiply
    633,615x = 1,312,143 × 1,312,143
  4. Step 4: Simplify right side
    633,615x = 1,721,719,252,449
  5. Step 5: Solve for x
    x = 1,721,719,252,449/633,615
  6. Step 6: Final answer
    x = 2,717,295.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.