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Finding the Third Proportional to 469,540 and 977,992

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Solution

The third proportional to 469,540 and 977,992 is: 2,037,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,540 : 977,992 = 977,992 : x
  2. Step 2: Convert to fraction form
    469,540/977,992 = 977,992/x
  3. Step 3: Cross multiply
    469,540x = 977,992 × 977,992
  4. Step 4: Simplify right side
    469,540x = 956,468,352,064
  5. Step 5: Solve for x
    x = 956,468,352,064/469,540
  6. Step 6: Final answer
    x = 2,037,032.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.