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Finding the Third Proportional to 910,488 and 1,311,498

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Solution

The third proportional to 910,488 and 1,311,498 is: 1,889,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,488 : 1,311,498 = 1,311,498 : x
  2. Step 2: Convert to fraction form
    910,488/1,311,498 = 1,311,498/x
  3. Step 3: Cross multiply
    910,488x = 1,311,498 × 1,311,498
  4. Step 4: Simplify right side
    910,488x = 1,720,027,004,004
  5. Step 5: Solve for x
    x = 1,720,027,004,004/910,488
  6. Step 6: Final answer
    x = 1,889,126.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.