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Finding the Third Proportional to 567,363 and 1,209,822

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Solution

The third proportional to 567,363 and 1,209,822 is: 2,579,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,363 : 1,209,822 = 1,209,822 : x
  2. Step 2: Convert to fraction form
    567,363/1,209,822 = 1,209,822/x
  3. Step 3: Cross multiply
    567,363x = 1,209,822 × 1,209,822
  4. Step 4: Simplify right side
    567,363x = 1,463,669,271,684
  5. Step 5: Solve for x
    x = 1,463,669,271,684/567,363
  6. Step 6: Final answer
    x = 2,579,775.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.