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Finding the Third Proportional to 1,024,537 and 1,646,156

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Solution

The third proportional to 1,024,537 and 1,646,156 is: 2,644,930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,537 : 1,646,156 = 1,646,156 : x
  2. Step 2: Convert to fraction form
    1,024,537/1,646,156 = 1,646,156/x
  3. Step 3: Cross multiply
    1,024,537x = 1,646,156 × 1,646,156
  4. Step 4: Simplify right side
    1,024,537x = 2,709,829,576,336
  5. Step 5: Solve for x
    x = 2,709,829,576,336/1,024,537
  6. Step 6: Final answer
    x = 2,644,930.91

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.