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Finding the Third Proportional to 507,468 and 1,105,344

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Solution

The third proportional to 507,468 and 1,105,344 is: 2,407,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,468 : 1,105,344 = 1,105,344 : x
  2. Step 2: Convert to fraction form
    507,468/1,105,344 = 1,105,344/x
  3. Step 3: Cross multiply
    507,468x = 1,105,344 × 1,105,344
  4. Step 4: Simplify right side
    507,468x = 1,221,785,358,336
  5. Step 5: Solve for x
    x = 1,221,785,358,336/507,468
  6. Step 6: Final answer
    x = 2,407,610.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.