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Finding the Third Proportional to 872,970 and 1,346,819

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Solution

The third proportional to 872,970 and 1,346,819 is: 2,077,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,970 : 1,346,819 = 1,346,819 : x
  2. Step 2: Convert to fraction form
    872,970/1,346,819 = 1,346,819/x
  3. Step 3: Cross multiply
    872,970x = 1,346,819 × 1,346,819
  4. Step 4: Simplify right side
    872,970x = 1,813,921,418,761
  5. Step 5: Solve for x
    x = 1,813,921,418,761/872,970
  6. Step 6: Final answer
    x = 2,077,873.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.