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Finding the Third Proportional to 897,916 and 1,938,272

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Solution

The third proportional to 897,916 and 1,938,272 is: 4,184,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,916 : 1,938,272 = 1,938,272 : x
  2. Step 2: Convert to fraction form
    897,916/1,938,272 = 1,938,272/x
  3. Step 3: Cross multiply
    897,916x = 1,938,272 × 1,938,272
  4. Step 4: Simplify right side
    897,916x = 3,756,898,345,984
  5. Step 5: Solve for x
    x = 3,756,898,345,984/897,916
  6. Step 6: Final answer
    x = 4,184,019.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.