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Finding the Third Proportional to 563,511 and 1,220,964

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Solution

The third proportional to 563,511 and 1,220,964 is: 2,645,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,511 : 1,220,964 = 1,220,964 : x
  2. Step 2: Convert to fraction form
    563,511/1,220,964 = 1,220,964/x
  3. Step 3: Cross multiply
    563,511x = 1,220,964 × 1,220,964
  4. Step 4: Simplify right side
    563,511x = 1,490,753,089,296
  5. Step 5: Solve for x
    x = 1,490,753,089,296/563,511
  6. Step 6: Final answer
    x = 2,645,472.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.