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Finding the Third Proportional to 622,585 and 961,519

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Solution

The third proportional to 622,585 and 961,519 is: 1,484,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,585 : 961,519 = 961,519 : x
  2. Step 2: Convert to fraction form
    622,585/961,519 = 961,519/x
  3. Step 3: Cross multiply
    622,585x = 961,519 × 961,519
  4. Step 4: Simplify right side
    622,585x = 924,518,787,361
  5. Step 5: Solve for x
    x = 924,518,787,361/622,585
  6. Step 6: Final answer
    x = 1,484,967.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.