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Finding the Third Proportional to 865,820.25 and 1,303,923.94

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Solution

The third proportional to 865,820.25 and 1,303,923.94 is: 1,963,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,820.25 : 1,303,923.94 = 1,303,923.94 : x
  2. Step 2: Convert to fraction form
    865,820.25/1,303,923.94 = 1,303,923.94/x
  3. Step 3: Cross multiply
    865,820.25x = 1,303,923.94 × 1,303,923.94
  4. Step 4: Simplify right side
    865,820.25x = 1,700,217,634,785.50
  5. Step 5: Solve for x
    x = 1,700,217,634,785.50/865,820.25
  6. Step 6: Final answer
    x = 1,963,707.40

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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.