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Finding the Third Proportional to 995,494 and 1,537,257

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Solution

The third proportional to 995,494 and 1,537,257 is: 2,373,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    995,494 : 1,537,257 = 1,537,257 : x
  2. Step 2: Convert to fraction form
    995,494/1,537,257 = 1,537,257/x
  3. Step 3: Cross multiply
    995,494x = 1,537,257 × 1,537,257
  4. Step 4: Simplify right side
    995,494x = 2,363,159,084,049
  5. Step 5: Solve for x
    x = 2,363,159,084,049/995,494
  6. Step 6: Final answer
    x = 2,373,855.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.