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Finding the Third Proportional to 450,998 and 972,508

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Solution

The third proportional to 450,998 and 972,508 is: 2,097,064.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,998 : 972,508 = 972,508 : x
  2. Step 2: Convert to fraction form
    450,998/972,508 = 972,508/x
  3. Step 3: Cross multiply
    450,998x = 972,508 × 972,508
  4. Step 4: Simplify right side
    450,998x = 945,771,810,064
  5. Step 5: Solve for x
    x = 945,771,810,064/450,998
  6. Step 6: Final answer
    x = 2,097,064.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.