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Finding the Third Proportional to 873,034 and 1,929,612

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Solution

The third proportional to 873,034 and 1,929,612 is: 4,264,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,034 : 1,929,612 = 1,929,612 : x
  2. Step 2: Convert to fraction form
    873,034/1,929,612 = 1,929,612/x
  3. Step 3: Cross multiply
    873,034x = 1,929,612 × 1,929,612
  4. Step 4: Simplify right side
    873,034x = 3,723,402,470,544
  5. Step 5: Solve for x
    x = 3,723,402,470,544/873,034
  6. Step 6: Final answer
    x = 4,264,899.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.