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Finding the Third Proportional to 635,693 and 1,500,332

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Solution

The third proportional to 635,693 and 1,500,332 is: 3,541,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,693 : 1,500,332 = 1,500,332 : x
  2. Step 2: Convert to fraction form
    635,693/1,500,332 = 1,500,332/x
  3. Step 3: Cross multiply
    635,693x = 1,500,332 × 1,500,332
  4. Step 4: Simplify right side
    635,693x = 2,250,996,110,224
  5. Step 5: Solve for x
    x = 2,250,996,110,224/635,693
  6. Step 6: Final answer
    x = 3,541,011.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.