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Finding the Third Proportional to 614,309 and 961,570

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Solution

The third proportional to 614,309 and 961,570 is: 1,505,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,309 : 961,570 = 961,570 : x
  2. Step 2: Convert to fraction form
    614,309/961,570 = 961,570/x
  3. Step 3: Cross multiply
    614,309x = 961,570 × 961,570
  4. Step 4: Simplify right side
    614,309x = 924,616,864,900
  5. Step 5: Solve for x
    x = 924,616,864,900/614,309
  6. Step 6: Final answer
    x = 1,505,133.19

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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.