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Finding the Third Proportional to 448,584 and 947,712

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Solution

The third proportional to 448,584 and 947,712 is: 2,002,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,584 : 947,712 = 947,712 : x
  2. Step 2: Convert to fraction form
    448,584/947,712 = 947,712/x
  3. Step 3: Cross multiply
    448,584x = 947,712 × 947,712
  4. Step 4: Simplify right side
    448,584x = 898,158,034,944
  5. Step 5: Solve for x
    x = 898,158,034,944/448,584
  6. Step 6: Final answer
    x = 2,002,207.02

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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.