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Finding the Third Proportional to 931,534 and 1,897,324

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Solution

The third proportional to 931,534 and 1,897,324 is: 3,864,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,534 : 1,897,324 = 1,897,324 : x
  2. Step 2: Convert to fraction form
    931,534/1,897,324 = 1,897,324/x
  3. Step 3: Cross multiply
    931,534x = 1,897,324 × 1,897,324
  4. Step 4: Simplify right side
    931,534x = 3,599,838,360,976
  5. Step 5: Solve for x
    x = 3,599,838,360,976/931,534
  6. Step 6: Final answer
    x = 3,864,419.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.