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Finding the Third Proportional to 749,079 and 1,638,297

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Solution

The third proportional to 749,079 and 1,638,297 is: 3,583,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,079 : 1,638,297 = 1,638,297 : x
  2. Step 2: Convert to fraction form
    749,079/1,638,297 = 1,638,297/x
  3. Step 3: Cross multiply
    749,079x = 1,638,297 × 1,638,297
  4. Step 4: Simplify right side
    749,079x = 2,684,017,060,209
  5. Step 5: Solve for x
    x = 2,684,017,060,209/749,079
  6. Step 6: Final answer
    x = 3,583,089.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.