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Finding the Third Proportional to 740,934 and 1,117,237

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Solution

The third proportional to 740,934 and 1,117,237 is: 1,684,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,934 : 1,117,237 = 1,117,237 : x
  2. Step 2: Convert to fraction form
    740,934/1,117,237 = 1,117,237/x
  3. Step 3: Cross multiply
    740,934x = 1,117,237 × 1,117,237
  4. Step 4: Simplify right side
    740,934x = 1,248,218,514,169
  5. Step 5: Solve for x
    x = 1,248,218,514,169/740,934
  6. Step 6: Final answer
    x = 1,684,655.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.