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Finding the Third Proportional to 656,530.75 and 1,428,091.50

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Solution

The third proportional to 656,530.75 and 1,428,091.50 is: 3,106,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,530.75 : 1,428,091.50 = 1,428,091.50 : x
  2. Step 2: Convert to fraction form
    656,530.75/1,428,091.50 = 1,428,091.50/x
  3. Step 3: Cross multiply
    656,530.75x = 1,428,091.50 × 1,428,091.50
  4. Step 4: Simplify right side
    656,530.75x = 2,039,445,332,372.25
  5. Step 5: Solve for x
    x = 2,039,445,332,372.25/656,530.75
  6. Step 6: Final answer
    x = 3,106,397.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.