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Finding the Third Proportional to 1,644,294 and 3,586,614

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Solution

The third proportional to 1,644,294 and 3,586,614 is: 7,823,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,294 : 3,586,614 = 3,586,614 : x
  2. Step 2: Convert to fraction form
    1,644,294/3,586,614 = 3,586,614/x
  3. Step 3: Cross multiply
    1,644,294x = 3,586,614 × 3,586,614
  4. Step 4: Simplify right side
    1,644,294x = 12,863,799,984,996
  5. Step 5: Solve for x
    x = 12,863,799,984,996/1,644,294
  6. Step 6: Final answer
    x = 7,823,296.80

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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.