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Finding the Third Proportional to 704,226 and 1,537,500

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Solution

The third proportional to 704,226 and 1,537,500 is: 3,356,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,226 : 1,537,500 = 1,537,500 : x
  2. Step 2: Convert to fraction form
    704,226/1,537,500 = 1,537,500/x
  3. Step 3: Cross multiply
    704,226x = 1,537,500 × 1,537,500
  4. Step 4: Simplify right side
    704,226x = 2,363,906,250,000
  5. Step 5: Solve for x
    x = 2,363,906,250,000/704,226
  6. Step 6: Final answer
    x = 3,356,743.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.