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Finding the Third Proportional to 585,982.50 and 1,243,908

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Solution

The third proportional to 585,982.50 and 1,243,908 is: 2,640,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,982.50 : 1,243,908 = 1,243,908 : x
  2. Step 2: Convert to fraction form
    585,982.50/1,243,908 = 1,243,908/x
  3. Step 3: Cross multiply
    585,982.50x = 1,243,908 × 1,243,908
  4. Step 4: Simplify right side
    585,982.50x = 1,547,307,112,464
  5. Step 5: Solve for x
    x = 1,547,307,112,464/585,982.50
  6. Step 6: Final answer
    x = 2,640,534.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.