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Finding the Third Proportional to 464,060 and 983,029

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Solution

The third proportional to 464,060 and 983,029 is: 2,082,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,060 : 983,029 = 983,029 : x
  2. Step 2: Convert to fraction form
    464,060/983,029 = 983,029/x
  3. Step 3: Cross multiply
    464,060x = 983,029 × 983,029
  4. Step 4: Simplify right side
    464,060x = 966,346,014,841
  5. Step 5: Solve for x
    x = 966,346,014,841/464,060
  6. Step 6: Final answer
    x = 2,082,373.00

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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.