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Finding the Third Proportional to 653,210 and 1,332,663

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Solution

The third proportional to 653,210 and 1,332,663 is: 2,718,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,210 : 1,332,663 = 1,332,663 : x
  2. Step 2: Convert to fraction form
    653,210/1,332,663 = 1,332,663/x
  3. Step 3: Cross multiply
    653,210x = 1,332,663 × 1,332,663
  4. Step 4: Simplify right side
    653,210x = 1,775,990,671,569
  5. Step 5: Solve for x
    x = 1,775,990,671,569/653,210
  6. Step 6: Final answer
    x = 2,718,866.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.