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Finding the Third Proportional to 1,543,232 and 3,385,276

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Solution

The third proportional to 1,543,232 and 3,385,276 is: 7,426,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,232 : 3,385,276 = 3,385,276 : x
  2. Step 2: Convert to fraction form
    1,543,232/3,385,276 = 3,385,276/x
  3. Step 3: Cross multiply
    1,543,232x = 3,385,276 × 3,385,276
  4. Step 4: Simplify right side
    1,543,232x = 11,460,093,596,176
  5. Step 5: Solve for x
    x = 11,460,093,596,176/1,543,232
  6. Step 6: Final answer
    x = 7,426,034.19

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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.