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Finding the Third Proportional to 1,689,490 and 3,676,406

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Solution

The third proportional to 1,689,490 and 3,676,406 is: 8,000,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,490 : 3,676,406 = 3,676,406 : x
  2. Step 2: Convert to fraction form
    1,689,490/3,676,406 = 3,676,406/x
  3. Step 3: Cross multiply
    1,689,490x = 3,676,406 × 3,676,406
  4. Step 4: Simplify right side
    1,689,490x = 13,515,961,076,836
  5. Step 5: Solve for x
    x = 13,515,961,076,836/1,689,490
  6. Step 6: Final answer
    x = 8,000,024.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.