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Finding the Third Proportional to 1,617,584 and 2,537,292

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Solution

The third proportional to 1,617,584 and 2,537,292 is: 3,979,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,584 : 2,537,292 = 2,537,292 : x
  2. Step 2: Convert to fraction form
    1,617,584/2,537,292 = 2,537,292/x
  3. Step 3: Cross multiply
    1,617,584x = 2,537,292 × 2,537,292
  4. Step 4: Simplify right side
    1,617,584x = 6,437,850,693,264
  5. Step 5: Solve for x
    x = 6,437,850,693,264/1,617,584
  6. Step 6: Final answer
    x = 3,979,917.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.