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Finding the Third Proportional to 633,612 and 1,312,134

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Solution

The third proportional to 633,612 and 1,312,134 is: 2,717,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,612 : 1,312,134 = 1,312,134 : x
  2. Step 2: Convert to fraction form
    633,612/1,312,134 = 1,312,134/x
  3. Step 3: Cross multiply
    633,612x = 1,312,134 × 1,312,134
  4. Step 4: Simplify right side
    633,612x = 1,721,695,633,956
  5. Step 5: Solve for x
    x = 1,721,695,633,956/633,612
  6. Step 6: Final answer
    x = 2,717,271.19

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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.