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Finding the Third Proportional to 573,822 and 1,340,237

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Solution

The third proportional to 573,822 and 1,340,237 is: 3,130,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,822 : 1,340,237 = 1,340,237 : x
  2. Step 2: Convert to fraction form
    573,822/1,340,237 = 1,340,237/x
  3. Step 3: Cross multiply
    573,822x = 1,340,237 × 1,340,237
  4. Step 4: Simplify right side
    573,822x = 1,796,235,216,169
  5. Step 5: Solve for x
    x = 1,796,235,216,169/573,822
  6. Step 6: Final answer
    x = 3,130,300.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.