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Finding the Third Proportional to 1,897,440 and 4,148,832

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Solution

The third proportional to 1,897,440 and 4,148,832 is: 9,071,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,440 : 4,148,832 = 4,148,832 : x
  2. Step 2: Convert to fraction form
    1,897,440/4,148,832 = 4,148,832/x
  3. Step 3: Cross multiply
    1,897,440x = 4,148,832 × 4,148,832
  4. Step 4: Simplify right side
    1,897,440x = 17,212,806,964,224
  5. Step 5: Solve for x
    x = 17,212,806,964,224/1,897,440
  6. Step 6: Final answer
    x = 9,071,594.87

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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.