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Finding the Third Proportional to 458,714 and 973,156

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Solution

The third proportional to 458,714 and 973,156 is: 2,064,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,714 : 973,156 = 973,156 : x
  2. Step 2: Convert to fraction form
    458,714/973,156 = 973,156/x
  3. Step 3: Cross multiply
    458,714x = 973,156 × 973,156
  4. Step 4: Simplify right side
    458,714x = 947,032,600,336
  5. Step 5: Solve for x
    x = 947,032,600,336/458,714
  6. Step 6: Final answer
    x = 2,064,538.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.