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Finding the Third Proportional to 727,356 and 1,590,143

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Solution

The third proportional to 727,356 and 1,590,143 is: 3,476,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,356 : 1,590,143 = 1,590,143 : x
  2. Step 2: Convert to fraction form
    727,356/1,590,143 = 1,590,143/x
  3. Step 3: Cross multiply
    727,356x = 1,590,143 × 1,590,143
  4. Step 4: Simplify right side
    727,356x = 2,528,554,760,449
  5. Step 5: Solve for x
    x = 2,528,554,760,449/727,356
  6. Step 6: Final answer
    x = 3,476,364.75

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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.