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Finding the Third Proportional to 872,968 and 1,346,816

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Solution

The third proportional to 872,968 and 1,346,816 is: 2,077,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,968 : 1,346,816 = 1,346,816 : x
  2. Step 2: Convert to fraction form
    872,968/1,346,816 = 1,346,816/x
  3. Step 3: Cross multiply
    872,968x = 1,346,816 × 1,346,816
  4. Step 4: Simplify right side
    872,968x = 1,813,913,337,856
  5. Step 5: Solve for x
    x = 1,813,913,337,856/872,968
  6. Step 6: Final answer
    x = 2,077,869.22

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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.