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Finding the Third Proportional to 1,049,570 and 2,173,828

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Solution

The third proportional to 1,049,570 and 2,173,828 is: 4,502,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,570 : 2,173,828 = 2,173,828 : x
  2. Step 2: Convert to fraction form
    1,049,570/2,173,828 = 2,173,828/x
  3. Step 3: Cross multiply
    1,049,570x = 2,173,828 × 2,173,828
  4. Step 4: Simplify right side
    1,049,570x = 4,725,528,173,584
  5. Step 5: Solve for x
    x = 4,725,528,173,584/1,049,570
  6. Step 6: Final answer
    x = 4,502,346.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.