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Finding the Third Proportional to 882,210 and 1,913,754

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Solution

The third proportional to 882,210 and 1,913,754 is: 4,151,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,210 : 1,913,754 = 1,913,754 : x
  2. Step 2: Convert to fraction form
    882,210/1,913,754 = 1,913,754/x
  3. Step 3: Cross multiply
    882,210x = 1,913,754 × 1,913,754
  4. Step 4: Simplify right side
    882,210x = 3,662,454,372,516
  5. Step 5: Solve for x
    x = 3,662,454,372,516/882,210
  6. Step 6: Final answer
    x = 4,151,454.16

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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.