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Finding the Third Proportional to 528,822 and 1,248,118.50

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Solution

The third proportional to 528,822 and 1,248,118.50 is: 2,945,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,822 : 1,248,118.50 = 1,248,118.50 : x
  2. Step 2: Convert to fraction form
    528,822/1,248,118.50 = 1,248,118.50/x
  3. Step 3: Cross multiply
    528,822x = 1,248,118.50 × 1,248,118.50
  4. Step 4: Simplify right side
    528,822x = 1,557,799,790,042.25
  5. Step 5: Solve for x
    x = 1,557,799,790,042.25/528,822
  6. Step 6: Final answer
    x = 2,945,792.33

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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.