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Finding the Third Proportional to 875,772 and 1,319,922

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Solution

The third proportional to 875,772 and 1,319,922 is: 1,989,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,772 : 1,319,922 = 1,319,922 : x
  2. Step 2: Convert to fraction form
    875,772/1,319,922 = 1,319,922/x
  3. Step 3: Cross multiply
    875,772x = 1,319,922 × 1,319,922
  4. Step 4: Simplify right side
    875,772x = 1,742,194,086,084
  5. Step 5: Solve for x
    x = 1,742,194,086,084/875,772
  6. Step 6: Final answer
    x = 1,989,323.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.