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Finding the Third Proportional to 882,178 and 1,913,720

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Solution

The third proportional to 882,178 and 1,913,720 is: 4,151,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,178 : 1,913,720 = 1,913,720 : x
  2. Step 2: Convert to fraction form
    882,178/1,913,720 = 1,913,720/x
  3. Step 3: Cross multiply
    882,178x = 1,913,720 × 1,913,720
  4. Step 4: Simplify right side
    882,178x = 3,662,324,238,400
  5. Step 5: Solve for x
    x = 3,662,324,238,400/882,178
  6. Step 6: Final answer
    x = 4,151,457.23

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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.