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Finding the Third Proportional to 508,266 and 1,105,065

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Solution

The third proportional to 508,266 and 1,105,065 is: 2,402,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,266 : 1,105,065 = 1,105,065 : x
  2. Step 2: Convert to fraction form
    508,266/1,105,065 = 1,105,065/x
  3. Step 3: Cross multiply
    508,266x = 1,105,065 × 1,105,065
  4. Step 4: Simplify right side
    508,266x = 1,221,168,654,225
  5. Step 5: Solve for x
    x = 1,221,168,654,225/508,266
  6. Step 6: Final answer
    x = 2,402,617.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.