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Finding the Third Proportional to 799,464 and 1,230,072

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Solution

The third proportional to 799,464 and 1,230,072 is: 1,892,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,464 : 1,230,072 = 1,230,072 : x
  2. Step 2: Convert to fraction form
    799,464/1,230,072 = 1,230,072/x
  3. Step 3: Cross multiply
    799,464x = 1,230,072 × 1,230,072
  4. Step 4: Simplify right side
    799,464x = 1,513,077,125,184
  5. Step 5: Solve for x
    x = 1,513,077,125,184/799,464
  6. Step 6: Final answer
    x = 1,892,614.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.