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Finding the Third Proportional to 1,240,645 and 1,897,464

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Solution

The third proportional to 1,240,645 and 1,897,464 is: 2,902,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240,645 : 1,897,464 = 1,897,464 : x
  2. Step 2: Convert to fraction form
    1,240,645/1,897,464 = 1,897,464/x
  3. Step 3: Cross multiply
    1,240,645x = 1,897,464 × 1,897,464
  4. Step 4: Simplify right side
    1,240,645x = 3,600,369,631,296
  5. Step 5: Solve for x
    x = 3,600,369,631,296/1,240,645
  6. Step 6: Final answer
    x = 2,902,014.38

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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.