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Finding the Third Proportional to 1,010,714 and 2,211,332

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Solution

The third proportional to 1,010,714 and 2,211,332 is: 4,838,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,714 : 2,211,332 = 2,211,332 : x
  2. Step 2: Convert to fraction form
    1,010,714/2,211,332 = 2,211,332/x
  3. Step 3: Cross multiply
    1,010,714x = 2,211,332 × 2,211,332
  4. Step 4: Simplify right side
    1,010,714x = 4,889,989,214,224
  5. Step 5: Solve for x
    x = 4,889,989,214,224/1,010,714
  6. Step 6: Final answer
    x = 4,838,153.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.