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Finding the Third Proportional to 1,552,770 and 3,292,164

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Solution

The third proportional to 1,552,770 and 3,292,164 is: 6,980,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552,770 : 3,292,164 = 3,292,164 : x
  2. Step 2: Convert to fraction form
    1,552,770/3,292,164 = 3,292,164/x
  3. Step 3: Cross multiply
    1,552,770x = 3,292,164 × 3,292,164
  4. Step 4: Simplify right side
    1,552,770x = 10,838,343,802,896
  5. Step 5: Solve for x
    x = 10,838,343,802,896/1,552,770
  6. Step 6: Final answer
    x = 6,980,005.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.