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Finding the Third Proportional to 563,226 and 1,173,048

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Solution

The third proportional to 563,226 and 1,173,048 is: 2,443,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,226 : 1,173,048 = 1,173,048 : x
  2. Step 2: Convert to fraction form
    563,226/1,173,048 = 1,173,048/x
  3. Step 3: Cross multiply
    563,226x = 1,173,048 × 1,173,048
  4. Step 4: Simplify right side
    563,226x = 1,376,041,610,304
  5. Step 5: Solve for x
    x = 1,376,041,610,304/563,226
  6. Step 6: Final answer
    x = 2,443,142.91

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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.