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Finding the Third Proportional to 448,585 and 947,714

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Solution

The third proportional to 448,585 and 947,714 is: 2,002,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,585 : 947,714 = 947,714 : x
  2. Step 2: Convert to fraction form
    448,585/947,714 = 947,714/x
  3. Step 3: Cross multiply
    448,585x = 947,714 × 947,714
  4. Step 4: Simplify right side
    448,585x = 898,161,825,796
  5. Step 5: Solve for x
    x = 898,161,825,796/448,585
  6. Step 6: Final answer
    x = 2,002,211.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.