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Finding the Third Proportional to 970,923 and 1,507,504.50

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Solution

The third proportional to 970,923 and 1,507,504.50 is: 2,340,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,923 : 1,507,504.50 = 1,507,504.50 : x
  2. Step 2: Convert to fraction form
    970,923/1,507,504.50 = 1,507,504.50/x
  3. Step 3: Cross multiply
    970,923x = 1,507,504.50 × 1,507,504.50
  4. Step 4: Simplify right side
    970,923x = 2,272,569,817,520.25
  5. Step 5: Solve for x
    x = 2,272,569,817,520.25/970,923
  6. Step 6: Final answer
    x = 2,340,628.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.