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Finding the Third Proportional to 464,046 and 983,001

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Solution

The third proportional to 464,046 and 983,001 is: 2,082,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,046 : 983,001 = 983,001 : x
  2. Step 2: Convert to fraction form
    464,046/983,001 = 983,001/x
  3. Step 3: Cross multiply
    464,046x = 983,001 × 983,001
  4. Step 4: Simplify right side
    464,046x = 966,290,966,001
  5. Step 5: Solve for x
    x = 966,290,966,001/464,046
  6. Step 6: Final answer
    x = 2,082,317.20

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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.