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Finding the Third Proportional to 563,912 and 1,220,752

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Solution

The third proportional to 563,912 and 1,220,752 is: 2,642,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,912 : 1,220,752 = 1,220,752 : x
  2. Step 2: Convert to fraction form
    563,912/1,220,752 = 1,220,752/x
  3. Step 3: Cross multiply
    563,912x = 1,220,752 × 1,220,752
  4. Step 4: Simplify right side
    563,912x = 1,490,235,445,504
  5. Step 5: Solve for x
    x = 1,490,235,445,504/563,912
  6. Step 6: Final answer
    x = 2,642,673.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.