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Finding the Third Proportional to 633,614 and 1,312,138

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Solution

The third proportional to 633,614 and 1,312,138 is: 2,717,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,614 : 1,312,138 = 1,312,138 : x
  2. Step 2: Convert to fraction form
    633,614/1,312,138 = 1,312,138/x
  3. Step 3: Cross multiply
    633,614x = 1,312,138 × 1,312,138
  4. Step 4: Simplify right side
    633,614x = 1,721,706,131,044
  5. Step 5: Solve for x
    x = 1,721,706,131,044/633,614
  6. Step 6: Final answer
    x = 2,717,279.18

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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.