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Finding the Third Proportional to 719,830 and 1,544,396

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Solution

The third proportional to 719,830 and 1,544,396 is: 3,313,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,830 : 1,544,396 = 1,544,396 : x
  2. Step 2: Convert to fraction form
    719,830/1,544,396 = 1,544,396/x
  3. Step 3: Cross multiply
    719,830x = 1,544,396 × 1,544,396
  4. Step 4: Simplify right side
    719,830x = 2,385,159,004,816
  5. Step 5: Solve for x
    x = 2,385,159,004,816/719,830
  6. Step 6: Final answer
    x = 3,313,503.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.