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Finding the Third Proportional to 750,139 and 1,617,584

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Solution

The third proportional to 750,139 and 1,617,584 is: 3,488,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,139 : 1,617,584 = 1,617,584 : x
  2. Step 2: Convert to fraction form
    750,139/1,617,584 = 1,617,584/x
  3. Step 3: Cross multiply
    750,139x = 1,617,584 × 1,617,584
  4. Step 4: Simplify right side
    750,139x = 2,616,577,997,056
  5. Step 5: Solve for x
    x = 2,616,577,997,056/750,139
  6. Step 6: Final answer
    x = 3,488,124.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.