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Finding the Third Proportional to 610,423 and 929,850

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Solution

The third proportional to 610,423 and 929,850 is: 1,416,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,423 : 929,850 = 929,850 : x
  2. Step 2: Convert to fraction form
    610,423/929,850 = 929,850/x
  3. Step 3: Cross multiply
    610,423x = 929,850 × 929,850
  4. Step 4: Simplify right side
    610,423x = 864,621,022,500
  5. Step 5: Solve for x
    x = 864,621,022,500/610,423
  6. Step 6: Final answer
    x = 1,416,429.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.