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Finding the Third Proportional to 740,931.75 and 1,117,234.13

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Solution

The third proportional to 740,931.75 and 1,117,234.13 is: 1,684,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,931.75 : 1,117,234.13 = 1,117,234.13 : x
  2. Step 2: Convert to fraction form
    740,931.75/1,117,234.13 = 1,117,234.13/x
  3. Step 3: Cross multiply
    740,931.75x = 1,117,234.13 × 1,117,234.13
  4. Step 4: Simplify right side
    740,931.75x = 1,248,212,090,064.52
  5. Step 5: Solve for x
    x = 1,248,212,090,064.52/740,931.75
  6. Step 6: Final answer
    x = 1,684,651.91

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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.