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Finding the Third Proportional to 971,206 and 1,523,538

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Solution

The third proportional to 971,206 and 1,523,538 is: 2,389,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,206 : 1,523,538 = 1,523,538 : x
  2. Step 2: Convert to fraction form
    971,206/1,523,538 = 1,523,538/x
  3. Step 3: Cross multiply
    971,206x = 1,523,538 × 1,523,538
  4. Step 4: Simplify right side
    971,206x = 2,321,168,037,444
  5. Step 5: Solve for x
    x = 2,321,168,037,444/971,206
  6. Step 6: Final answer
    x = 2,389,985.27

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.