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Finding the Third Proportional to 802,905 and 1,172,322

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Solution

The third proportional to 802,905 and 1,172,322 is: 1,711,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,905 : 1,172,322 = 1,172,322 : x
  2. Step 2: Convert to fraction form
    802,905/1,172,322 = 1,172,322/x
  3. Step 3: Cross multiply
    802,905x = 1,172,322 × 1,172,322
  4. Step 4: Simplify right side
    802,905x = 1,374,338,871,684
  5. Step 5: Solve for x
    x = 1,374,338,871,684/802,905
  6. Step 6: Final answer
    x = 1,711,707.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.