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Finding the Third Proportional to 584,822 and 1,256,669

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Solution

The third proportional to 584,822 and 1,256,669 is: 2,700,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,822 : 1,256,669 = 1,256,669 : x
  2. Step 2: Convert to fraction form
    584,822/1,256,669 = 1,256,669/x
  3. Step 3: Cross multiply
    584,822x = 1,256,669 × 1,256,669
  4. Step 4: Simplify right side
    584,822x = 1,579,216,975,561
  5. Step 5: Solve for x
    x = 1,579,216,975,561/584,822
  6. Step 6: Final answer
    x = 2,700,337.84

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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.