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Finding the Third Proportional to 630,540 and 943,506

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Solution

The third proportional to 630,540 and 943,506 is: 1,411,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,540 : 943,506 = 943,506 : x
  2. Step 2: Convert to fraction form
    630,540/943,506 = 943,506/x
  3. Step 3: Cross multiply
    630,540x = 943,506 × 943,506
  4. Step 4: Simplify right side
    630,540x = 890,203,572,036
  5. Step 5: Solve for x
    x = 890,203,572,036/630,540
  6. Step 6: Final answer
    x = 1,411,811.42

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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.