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Finding the Third Proportional to 464,986 and 985,776

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Solution

The third proportional to 464,986 and 985,776 is: 2,089,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,986 : 985,776 = 985,776 : x
  2. Step 2: Convert to fraction form
    464,986/985,776 = 985,776/x
  3. Step 3: Cross multiply
    464,986x = 985,776 × 985,776
  4. Step 4: Simplify right side
    464,986x = 971,754,322,176
  5. Step 5: Solve for x
    x = 971,754,322,176/464,986
  6. Step 6: Final answer
    x = 2,089,857.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.