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Finding the Third Proportional to 1,897,441 and 4,148,834

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Solution

The third proportional to 1,897,441 and 4,148,834 is: 9,071,598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,441 : 4,148,834 = 4,148,834 : x
  2. Step 2: Convert to fraction form
    1,897,441/4,148,834 = 4,148,834/x
  3. Step 3: Cross multiply
    1,897,441x = 4,148,834 × 4,148,834
  4. Step 4: Simplify right side
    1,897,441x = 17,212,823,559,556
  5. Step 5: Solve for x
    x = 17,212,823,559,556/1,897,441
  6. Step 6: Final answer
    x = 9,071,598.83

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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.