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Finding the Third Proportional to 456,870 and 1,004,865

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Solution

The third proportional to 456,870 and 1,004,865 is: 2,210,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,870 : 1,004,865 = 1,004,865 : x
  2. Step 2: Convert to fraction form
    456,870/1,004,865 = 1,004,865/x
  3. Step 3: Cross multiply
    456,870x = 1,004,865 × 1,004,865
  4. Step 4: Simplify right side
    456,870x = 1,009,753,668,225
  5. Step 5: Solve for x
    x = 1,009,753,668,225/456,870
  6. Step 6: Final answer
    x = 2,210,155.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.