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Finding the Third Proportional to 630,518 and 884,742

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Solution

The third proportional to 630,518 and 884,742 is: 1,241,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,518 : 884,742 = 884,742 : x
  2. Step 2: Convert to fraction form
    630,518/884,742 = 884,742/x
  3. Step 3: Cross multiply
    630,518x = 884,742 × 884,742
  4. Step 4: Simplify right side
    630,518x = 782,768,406,564
  5. Step 5: Solve for x
    x = 782,768,406,564/630,518
  6. Step 6: Final answer
    x = 1,241,468.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.