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Finding the Third Proportional to 1,596,170.25 and 3,502,764

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Solution

The third proportional to 1,596,170.25 and 3,502,764 is: 7,686,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,170.25 : 3,502,764 = 3,502,764 : x
  2. Step 2: Convert to fraction form
    1,596,170.25/3,502,764 = 3,502,764/x
  3. Step 3: Cross multiply
    1,596,170.25x = 3,502,764 × 3,502,764
  4. Step 4: Simplify right side
    1,596,170.25x = 12,269,355,639,696
  5. Step 5: Solve for x
    x = 12,269,355,639,696/1,596,170.25
  6. Step 6: Final answer
    x = 7,686,746.22

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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.