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Finding the Third Proportional to 468,030 and 972,044

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Solution

The third proportional to 468,030 and 972,044 is: 2,018,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,030 : 972,044 = 972,044 : x
  2. Step 2: Convert to fraction form
    468,030/972,044 = 972,044/x
  3. Step 3: Cross multiply
    468,030x = 972,044 × 972,044
  4. Step 4: Simplify right side
    468,030x = 944,869,537,936
  5. Step 5: Solve for x
    x = 944,869,537,936/468,030
  6. Step 6: Final answer
    x = 2,018,822.59

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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.