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Finding the Third Proportional to 630,429 and 943,416

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Solution

The third proportional to 630,429 and 943,416 is: 1,411,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,429 : 943,416 = 943,416 : x
  2. Step 2: Convert to fraction form
    630,429/943,416 = 943,416/x
  3. Step 3: Cross multiply
    630,429x = 943,416 × 943,416
  4. Step 4: Simplify right side
    630,429x = 890,033,749,056
  5. Step 5: Solve for x
    x = 890,033,749,056/630,429
  6. Step 6: Final answer
    x = 1,411,790.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.