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Finding the Third Proportional to 931,348 and 1,984,808

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Solution

The third proportional to 931,348 and 1,984,808 is: 4,229,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,348 : 1,984,808 = 1,984,808 : x
  2. Step 2: Convert to fraction form
    931,348/1,984,808 = 1,984,808/x
  3. Step 3: Cross multiply
    931,348x = 1,984,808 × 1,984,808
  4. Step 4: Simplify right side
    931,348x = 3,939,462,796,864
  5. Step 5: Solve for x
    x = 3,939,462,796,864/931,348
  6. Step 6: Final answer
    x = 4,229,850.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.