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Finding the Third Proportional to 469,542 and 977,996

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Solution

The third proportional to 469,542 and 977,996 is: 2,037,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,542 : 977,996 = 977,996 : x
  2. Step 2: Convert to fraction form
    469,542/977,996 = 977,996/x
  3. Step 3: Cross multiply
    469,542x = 977,996 × 977,996
  4. Step 4: Simplify right side
    469,542x = 956,476,176,016
  5. Step 5: Solve for x
    x = 956,476,176,016/469,542
  6. Step 6: Final answer
    x = 2,037,040.72

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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.