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Finding the Third Proportional to 881,816 and 1,319,298

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Solution

The third proportional to 881,816 and 1,319,298 is: 1,973,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,816 : 1,319,298 = 1,319,298 : x
  2. Step 2: Convert to fraction form
    881,816/1,319,298 = 1,319,298/x
  3. Step 3: Cross multiply
    881,816x = 1,319,298 × 1,319,298
  4. Step 4: Simplify right side
    881,816x = 1,740,547,212,804
  5. Step 5: Solve for x
    x = 1,740,547,212,804/881,816
  6. Step 6: Final answer
    x = 1,973,821.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.