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Finding the Third Proportional to 786,006 and 1,112,422.75

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Solution

The third proportional to 786,006 and 1,112,422.75 is: 1,574,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,006 : 1,112,422.75 = 1,112,422.75 : x
  2. Step 2: Convert to fraction form
    786,006/1,112,422.75 = 1,112,422.75/x
  3. Step 3: Cross multiply
    786,006x = 1,112,422.75 × 1,112,422.75
  4. Step 4: Simplify right side
    786,006x = 1,237,484,374,717.56
  5. Step 5: Solve for x
    x = 1,237,484,374,717.56/786,006
  6. Step 6: Final answer
    x = 1,574,395.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.