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Finding the Third Proportional to 614,326 and 961,597

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Solution

The third proportional to 614,326 and 961,597 is: 1,505,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,326 : 961,597 = 961,597 : x
  2. Step 2: Convert to fraction form
    614,326/961,597 = 961,597/x
  3. Step 3: Cross multiply
    614,326x = 961,597 × 961,597
  4. Step 4: Simplify right side
    614,326x = 924,668,790,409
  5. Step 5: Solve for x
    x = 924,668,790,409/614,326
  6. Step 6: Final answer
    x = 1,505,176.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.