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Finding the Third Proportional to 1,293,664 and 2,721,376

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Solution

The third proportional to 1,293,664 and 2,721,376 is: 5,724,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,664 : 2,721,376 = 2,721,376 : x
  2. Step 2: Convert to fraction form
    1,293,664/2,721,376 = 2,721,376/x
  3. Step 3: Cross multiply
    1,293,664x = 2,721,376 × 2,721,376
  4. Step 4: Simplify right side
    1,293,664x = 7,405,887,333,376
  5. Step 5: Solve for x
    x = 7,405,887,333,376/1,293,664
  6. Step 6: Final answer
    x = 5,724,737.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.