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Finding the Third Proportional to 1,202,148 and 2,538,432

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Solution

The third proportional to 1,202,148 and 2,538,432 is: 5,360,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,148 : 2,538,432 = 2,538,432 : x
  2. Step 2: Convert to fraction form
    1,202,148/2,538,432 = 2,538,432/x
  3. Step 3: Cross multiply
    1,202,148x = 2,538,432 × 2,538,432
  4. Step 4: Simplify right side
    1,202,148x = 6,443,637,018,624
  5. Step 5: Solve for x
    x = 6,443,637,018,624/1,202,148
  6. Step 6: Final answer
    x = 5,360,102.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.