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Finding the Third Proportional to 632,955 and 1,357,353

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Solution

The third proportional to 632,955 and 1,357,353 is: 2,910,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,955 : 1,357,353 = 1,357,353 : x
  2. Step 2: Convert to fraction form
    632,955/1,357,353 = 1,357,353/x
  3. Step 3: Cross multiply
    632,955x = 1,357,353 × 1,357,353
  4. Step 4: Simplify right side
    632,955x = 1,842,407,166,609
  5. Step 5: Solve for x
    x = 1,842,407,166,609/632,955
  6. Step 6: Final answer
    x = 2,910,802.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.