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Finding the Third Proportional to 563,332 and 1,223,816

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Solution

The third proportional to 563,332 and 1,223,816 is: 2,658,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,332 : 1,223,816 = 1,223,816 : x
  2. Step 2: Convert to fraction form
    563,332/1,223,816 = 1,223,816/x
  3. Step 3: Cross multiply
    563,332x = 1,223,816 × 1,223,816
  4. Step 4: Simplify right side
    563,332x = 1,497,725,601,856
  5. Step 5: Solve for x
    x = 1,497,725,601,856/563,332
  6. Step 6: Final answer
    x = 2,658,690.79

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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.