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Finding the Third Proportional to 757,590.47 and 1,657,609.31

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Solution

The third proportional to 757,590.47 and 1,657,609.31 is: 3,626,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,590.47 : 1,657,609.31 = 1,657,609.31 : x
  2. Step 2: Convert to fraction form
    757,590.47/1,657,609.31 = 1,657,609.31/x
  3. Step 3: Cross multiply
    757,590.47x = 1,657,609.31 × 1,657,609.31
  4. Step 4: Simplify right side
    757,590.47x = 2,747,668,632,886.72
  5. Step 5: Solve for x
    x = 2,747,668,632,886.72/757,590.47
  6. Step 6: Final answer
    x = 3,626,852.17

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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.