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Finding the Third Proportional to 931,724 and 2,021,656

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Solution

The third proportional to 931,724 and 2,021,656 is: 4,386,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,724 : 2,021,656 = 2,021,656 : x
  2. Step 2: Convert to fraction form
    931,724/2,021,656 = 2,021,656/x
  3. Step 3: Cross multiply
    931,724x = 2,021,656 × 2,021,656
  4. Step 4: Simplify right side
    931,724x = 4,087,092,982,336
  5. Step 5: Solve for x
    x = 4,087,092,982,336/931,724
  6. Step 6: Final answer
    x = 4,386,591.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.