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Finding the Third Proportional to 451,623 and 975,246

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Solution

The third proportional to 451,623 and 975,246 is: 2,105,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,623 : 975,246 = 975,246 : x
  2. Step 2: Convert to fraction form
    451,623/975,246 = 975,246/x
  3. Step 3: Cross multiply
    451,623x = 975,246 × 975,246
  4. Step 4: Simplify right side
    451,623x = 951,104,760,516
  5. Step 5: Solve for x
    x = 951,104,760,516/451,623
  6. Step 6: Final answer
    x = 2,105,970.60

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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.