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Finding the Third Proportional to 1,724,224 and 3,746,897

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Solution

The third proportional to 1,724,224 and 3,746,897 is: 8,142,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,224 : 3,746,897 = 3,746,897 : x
  2. Step 2: Convert to fraction form
    1,724,224/3,746,897 = 3,746,897/x
  3. Step 3: Cross multiply
    1,724,224x = 3,746,897 × 3,746,897
  4. Step 4: Simplify right side
    1,724,224x = 14,039,237,128,609
  5. Step 5: Solve for x
    x = 14,039,237,128,609/1,724,224
  6. Step 6: Final answer
    x = 8,142,351.07

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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.