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Finding the Third Proportional to 563,835 and 1,174,323

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Solution

The third proportional to 563,835 and 1,174,323 is: 2,445,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,835 : 1,174,323 = 1,174,323 : x
  2. Step 2: Convert to fraction form
    563,835/1,174,323 = 1,174,323/x
  3. Step 3: Cross multiply
    563,835x = 1,174,323 × 1,174,323
  4. Step 4: Simplify right side
    563,835x = 1,379,034,508,329
  5. Step 5: Solve for x
    x = 1,379,034,508,329/563,835
  6. Step 6: Final answer
    x = 2,445,812.18

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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.