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Finding the Third Proportional to 574,133 and 1,341,007

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Solution

The third proportional to 574,133 and 1,341,007 is: 3,132,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,133 : 1,341,007 = 1,341,007 : x
  2. Step 2: Convert to fraction form
    574,133/1,341,007 = 1,341,007/x
  3. Step 3: Cross multiply
    574,133x = 1,341,007 × 1,341,007
  4. Step 4: Simplify right side
    574,133x = 1,798,299,774,049
  5. Step 5: Solve for x
    x = 1,798,299,774,049/574,133
  6. Step 6: Final answer
    x = 3,132,200.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.