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Finding the Third Proportional to 1,169,700 and 1,767,294

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Solution

The third proportional to 1,169,700 and 1,767,294 is: 2,670,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,700 : 1,767,294 = 1,767,294 : x
  2. Step 2: Convert to fraction form
    1,169,700/1,767,294 = 1,767,294/x
  3. Step 3: Cross multiply
    1,169,700x = 1,767,294 × 1,767,294
  4. Step 4: Simplify right side
    1,169,700x = 3,123,328,082,436
  5. Step 5: Solve for x
    x = 3,123,328,082,436/1,169,700
  6. Step 6: Final answer
    x = 2,670,195.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.