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Finding the Third Proportional to 563,328 and 1,223,808

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Solution

The third proportional to 563,328 and 1,223,808 is: 2,658,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,328 : 1,223,808 = 1,223,808 : x
  2. Step 2: Convert to fraction form
    563,328/1,223,808 = 1,223,808/x
  3. Step 3: Cross multiply
    563,328x = 1,223,808 × 1,223,808
  4. Step 4: Simplify right side
    563,328x = 1,497,706,020,864
  5. Step 5: Solve for x
    x = 1,497,706,020,864/563,328
  6. Step 6: Final answer
    x = 2,658,674.91

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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.