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Finding the Third Proportional to 1,172,559 and 2,569,569

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Solution

The third proportional to 1,172,559 and 2,569,569 is: 5,631,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,559 : 2,569,569 = 2,569,569 : x
  2. Step 2: Convert to fraction form
    1,172,559/2,569,569 = 2,569,569/x
  3. Step 3: Cross multiply
    1,172,559x = 2,569,569 × 2,569,569
  4. Step 4: Simplify right side
    1,172,559x = 6,602,684,845,761
  5. Step 5: Solve for x
    x = 6,602,684,845,761/1,172,559
  6. Step 6: Final answer
    x = 5,631,004.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.