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Finding the Third Proportional to 882,133 and 1,913,629

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Solution

The third proportional to 882,133 and 1,913,629 is: 4,151,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,133 : 1,913,629 = 1,913,629 : x
  2. Step 2: Convert to fraction form
    882,133/1,913,629 = 1,913,629/x
  3. Step 3: Cross multiply
    882,133x = 1,913,629 × 1,913,629
  4. Step 4: Simplify right side
    882,133x = 3,661,975,949,641
  5. Step 5: Solve for x
    x = 3,661,975,949,641/882,133
  6. Step 6: Final answer
    x = 4,151,274.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.