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Finding the Third Proportional to 456,111 and 971,271

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Solution

The third proportional to 456,111 and 971,271 is: 2,068,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,111 : 971,271 = 971,271 : x
  2. Step 2: Convert to fraction form
    456,111/971,271 = 971,271/x
  3. Step 3: Cross multiply
    456,111x = 971,271 × 971,271
  4. Step 4: Simplify right side
    456,111x = 943,367,355,441
  5. Step 5: Solve for x
    x = 943,367,355,441/456,111
  6. Step 6: Final answer
    x = 2,068,284.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.