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Finding the Third Proportional to 614,326 and 961,594

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Solution

The third proportional to 614,326 and 961,594 is: 1,505,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,326 : 961,594 = 961,594 : x
  2. Step 2: Convert to fraction form
    614,326/961,594 = 961,594/x
  3. Step 3: Cross multiply
    614,326x = 961,594 × 961,594
  4. Step 4: Simplify right side
    614,326x = 924,663,020,836
  5. Step 5: Solve for x
    x = 924,663,020,836/614,326
  6. Step 6: Final answer
    x = 1,505,166.67

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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.