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Finding the Third Proportional to 805,824 and 1,186,464

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Solution

The third proportional to 805,824 and 1,186,464 is: 1,746,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,824 : 1,186,464 = 1,186,464 : x
  2. Step 2: Convert to fraction form
    805,824/1,186,464 = 1,186,464/x
  3. Step 3: Cross multiply
    805,824x = 1,186,464 × 1,186,464
  4. Step 4: Simplify right side
    805,824x = 1,407,696,823,296
  5. Step 5: Solve for x
    x = 1,407,696,823,296/805,824
  6. Step 6: Final answer
    x = 1,746,903.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.