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Finding the Third Proportional to 700,941.94 and 1,050,246.56

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Solution

The third proportional to 700,941.94 and 1,050,246.56 is: 1,573,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,941.94 : 1,050,246.56 = 1,050,246.56 : x
  2. Step 2: Convert to fraction form
    700,941.94/1,050,246.56 = 1,050,246.56/x
  3. Step 3: Cross multiply
    700,941.94x = 1,050,246.56 × 1,050,246.56
  4. Step 4: Simplify right side
    700,941.94x = 1,103,017,842,043.07
  5. Step 5: Solve for x
    x = 1,103,017,842,043.07/700,941.94
  6. Step 6: Final answer
    x = 1,573,622.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.