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Finding the Third Proportional to 864,214 and 1,308,262

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Solution

The third proportional to 864,214 and 1,308,262 is: 1,980,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,214 : 1,308,262 = 1,308,262 : x
  2. Step 2: Convert to fraction form
    864,214/1,308,262 = 1,308,262/x
  3. Step 3: Cross multiply
    864,214x = 1,308,262 × 1,308,262
  4. Step 4: Simplify right side
    864,214x = 1,711,549,460,644
  5. Step 5: Solve for x
    x = 1,711,549,460,644/864,214
  6. Step 6: Final answer
    x = 1,980,469.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.