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Finding the Third Proportional to 1,922,427 and 4,153,221

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Solution

The third proportional to 1,922,427 and 4,153,221 is: 8,972,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,427 : 4,153,221 = 4,153,221 : x
  2. Step 2: Convert to fraction form
    1,922,427/4,153,221 = 4,153,221/x
  3. Step 3: Cross multiply
    1,922,427x = 4,153,221 × 4,153,221
  4. Step 4: Simplify right side
    1,922,427x = 17,249,244,674,841
  5. Step 5: Solve for x
    x = 17,249,244,674,841/1,922,427
  6. Step 6: Final answer
    x = 8,972,639.62

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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.