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Finding the Third Proportional to 524,752 and 1,159,764

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Solution

The third proportional to 524,752 and 1,159,764 is: 2,563,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,752 : 1,159,764 = 1,159,764 : x
  2. Step 2: Convert to fraction form
    524,752/1,159,764 = 1,159,764/x
  3. Step 3: Cross multiply
    524,752x = 1,159,764 × 1,159,764
  4. Step 4: Simplify right side
    524,752x = 1,345,052,535,696
  5. Step 5: Solve for x
    x = 1,345,052,535,696/524,752
  6. Step 6: Final answer
    x = 2,563,215.64

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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.