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Finding the Third Proportional to 556,929 and 1,143,369

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Solution

The third proportional to 556,929 and 1,143,369 is: 2,347,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,929 : 1,143,369 = 1,143,369 : x
  2. Step 2: Convert to fraction form
    556,929/1,143,369 = 1,143,369/x
  3. Step 3: Cross multiply
    556,929x = 1,143,369 × 1,143,369
  4. Step 4: Simplify right side
    556,929x = 1,307,292,670,161
  5. Step 5: Solve for x
    x = 1,307,292,670,161/556,929
  6. Step 6: Final answer
    x = 2,347,323.75

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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.