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Finding the Third Proportional to 469,536 and 977,984

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Solution

The third proportional to 469,536 and 977,984 is: 2,037,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,536 : 977,984 = 977,984 : x
  2. Step 2: Convert to fraction form
    469,536/977,984 = 977,984/x
  3. Step 3: Cross multiply
    469,536x = 977,984 × 977,984
  4. Step 4: Simplify right side
    469,536x = 956,452,704,256
  5. Step 5: Solve for x
    x = 956,452,704,256/469,536
  6. Step 6: Final answer
    x = 2,037,016.77

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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.