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Finding the Third Proportional to 977,178.94 and 1,409,708.81

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Solution

The third proportional to 977,178.94 and 1,409,708.81 is: 2,033,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,178.94 : 1,409,708.81 = 1,409,708.81 : x
  2. Step 2: Convert to fraction form
    977,178.94/1,409,708.81 = 1,409,708.81/x
  3. Step 3: Cross multiply
    977,178.94x = 1,409,708.81 × 1,409,708.81
  4. Step 4: Simplify right side
    977,178.94x = 1,987,278,936,040.16
  5. Step 5: Solve for x
    x = 1,987,278,936,040.16/977,178.94
  6. Step 6: Final answer
    x = 2,033,689.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.