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Finding the Third Proportional to 1,323,216 and 2,870,478

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Solution

The third proportional to 1,323,216 and 2,870,478 is: 6,226,983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323,216 : 2,870,478 = 2,870,478 : x
  2. Step 2: Convert to fraction form
    1,323,216/2,870,478 = 2,870,478/x
  3. Step 3: Cross multiply
    1,323,216x = 2,870,478 × 2,870,478
  4. Step 4: Simplify right side
    1,323,216x = 8,239,643,948,484
  5. Step 5: Solve for x
    x = 8,239,643,948,484/1,323,216
  6. Step 6: Final answer
    x = 6,226,983.31

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