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Finding the Third Proportional to 633,053 and 1,464,262

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Solution

The third proportional to 633,053 and 1,464,262 is: 3,386,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,053 : 1,464,262 = 1,464,262 : x
  2. Step 2: Convert to fraction form
    633,053/1,464,262 = 1,464,262/x
  3. Step 3: Cross multiply
    633,053x = 1,464,262 × 1,464,262
  4. Step 4: Simplify right side
    633,053x = 2,144,063,204,644
  5. Step 5: Solve for x
    x = 2,144,063,204,644/633,053
  6. Step 6: Final answer
    x = 3,386,862.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.