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Finding the Third Proportional to 1,454,210 and 3,110,596

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Solution

The third proportional to 1,454,210 and 3,110,596 is: 6,653,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,210 : 3,110,596 = 3,110,596 : x
  2. Step 2: Convert to fraction form
    1,454,210/3,110,596 = 3,110,596/x
  3. Step 3: Cross multiply
    1,454,210x = 3,110,596 × 3,110,596
  4. Step 4: Simplify right side
    1,454,210x = 9,675,807,475,216
  5. Step 5: Solve for x
    x = 9,675,807,475,216/1,454,210
  6. Step 6: Final answer
    x = 6,653,652.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.