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Finding the Third Proportional to 563,464 and 1,173,712

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Solution

The third proportional to 563,464 and 1,173,712 is: 2,444,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,464 : 1,173,712 = 1,173,712 : x
  2. Step 2: Convert to fraction form
    563,464/1,173,712 = 1,173,712/x
  3. Step 3: Cross multiply
    563,464x = 1,173,712 × 1,173,712
  4. Step 4: Simplify right side
    563,464x = 1,377,599,858,944
  5. Step 5: Solve for x
    x = 1,377,599,858,944/563,464
  6. Step 6: Final answer
    x = 2,444,876.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.