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Finding the Third Proportional to 2,121,792 and 4,341,633

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Solution

The third proportional to 2,121,792 and 4,341,633 is: 8,883,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121,792 : 4,341,633 = 4,341,633 : x
  2. Step 2: Convert to fraction form
    2,121,792/4,341,633 = 4,341,633/x
  3. Step 3: Cross multiply
    2,121,792x = 4,341,633 × 4,341,633
  4. Step 4: Simplify right side
    2,121,792x = 18,849,777,106,689
  5. Step 5: Solve for x
    x = 18,849,777,106,689/2,121,792
  6. Step 6: Final answer
    x = 8,883,894.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.