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Finding the Third Proportional to 832,761 and 1,752,516

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Solution

The third proportional to 832,761 and 1,752,516 is: 3,688,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,761 : 1,752,516 = 1,752,516 : x
  2. Step 2: Convert to fraction form
    832,761/1,752,516 = 1,752,516/x
  3. Step 3: Cross multiply
    832,761x = 1,752,516 × 1,752,516
  4. Step 4: Simplify right side
    832,761x = 3,071,312,330,256
  5. Step 5: Solve for x
    x = 3,071,312,330,256/832,761
  6. Step 6: Final answer
    x = 3,688,107.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.