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Finding the Third Proportional to 2,141,121 and 3,152,538

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Solution

The third proportional to 2,141,121 and 3,152,538 is: 4,641,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,121 : 3,152,538 = 3,152,538 : x
  2. Step 2: Convert to fraction form
    2,141,121/3,152,538 = 3,152,538/x
  3. Step 3: Cross multiply
    2,141,121x = 3,152,538 × 3,152,538
  4. Step 4: Simplify right side
    2,141,121x = 9,938,495,841,444
  5. Step 5: Solve for x
    x = 9,938,495,841,444/2,141,121
  6. Step 6: Final answer
    x = 4,641,725.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.