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Finding the Third Proportional to 1,737,266 and 2,657,564

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Solution

The third proportional to 1,737,266 and 2,657,564 is: 4,065,379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,266 : 2,657,564 = 2,657,564 : x
  2. Step 2: Convert to fraction form
    1,737,266/2,657,564 = 2,657,564/x
  3. Step 3: Cross multiply
    1,737,266x = 2,657,564 × 2,657,564
  4. Step 4: Simplify right side
    1,737,266x = 7,062,646,414,096
  5. Step 5: Solve for x
    x = 7,062,646,414,096/1,737,266
  6. Step 6: Final answer
    x = 4,065,379.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.