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Finding the Third Proportional to 727,196 and 1,490,484

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Solution

The third proportional to 727,196 and 1,490,484 is: 3,054,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,196 : 1,490,484 = 1,490,484 : x
  2. Step 2: Convert to fraction form
    727,196/1,490,484 = 1,490,484/x
  3. Step 3: Cross multiply
    727,196x = 1,490,484 × 1,490,484
  4. Step 4: Simplify right side
    727,196x = 2,221,542,554,256
  5. Step 5: Solve for x
    x = 2,221,542,554,256/727,196
  6. Step 6: Final answer
    x = 3,054,943.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.