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Finding the Third Proportional to 1,264,729 and 1,849,771

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Solution

The third proportional to 1,264,729 and 1,849,771 is: 2,705,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,729 : 1,849,771 = 1,849,771 : x
  2. Step 2: Convert to fraction form
    1,264,729/1,849,771 = 1,849,771/x
  3. Step 3: Cross multiply
    1,264,729x = 1,849,771 × 1,849,771
  4. Step 4: Simplify right side
    1,264,729x = 3,421,652,752,441
  5. Step 5: Solve for x
    x = 3,421,652,752,441/1,264,729
  6. Step 6: Final answer
    x = 2,705,443.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.