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Finding the Third Proportional to 502,416 and 1,083,546

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Solution

The third proportional to 502,416 and 1,083,546 is: 2,336,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,416 : 1,083,546 = 1,083,546 : x
  2. Step 2: Convert to fraction form
    502,416/1,083,546 = 1,083,546/x
  3. Step 3: Cross multiply
    502,416x = 1,083,546 × 1,083,546
  4. Step 4: Simplify right side
    502,416x = 1,174,071,934,116
  5. Step 5: Solve for x
    x = 1,174,071,934,116/502,416
  6. Step 6: Final answer
    x = 2,336,852.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.