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Finding the Third Proportional to 468,032 and 972,048

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Solution

The third proportional to 468,032 and 972,048 is: 2,018,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,032 : 972,048 = 972,048 : x
  2. Step 2: Convert to fraction form
    468,032/972,048 = 972,048/x
  3. Step 3: Cross multiply
    468,032x = 972,048 × 972,048
  4. Step 4: Simplify right side
    468,032x = 944,877,314,304
  5. Step 5: Solve for x
    x = 944,877,314,304/468,032
  6. Step 6: Final answer
    x = 2,018,830.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.