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Finding the Third Proportional to 691,824 and 1,490,368

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Solution

The third proportional to 691,824 and 1,490,368 is: 3,210,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,824 : 1,490,368 = 1,490,368 : x
  2. Step 2: Convert to fraction form
    691,824/1,490,368 = 1,490,368/x
  3. Step 3: Cross multiply
    691,824x = 1,490,368 × 1,490,368
  4. Step 4: Simplify right side
    691,824x = 2,221,196,775,424
  5. Step 5: Solve for x
    x = 2,221,196,775,424/691,824
  6. Step 6: Final answer
    x = 3,210,638.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.