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Finding the Third Proportional to 952,356 and 1,440,822

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Solution

The third proportional to 952,356 and 1,440,822 is: 2,179,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,356 : 1,440,822 = 1,440,822 : x
  2. Step 2: Convert to fraction form
    952,356/1,440,822 = 1,440,822/x
  3. Step 3: Cross multiply
    952,356x = 1,440,822 × 1,440,822
  4. Step 4: Simplify right side
    952,356x = 2,075,968,035,684
  5. Step 5: Solve for x
    x = 2,075,968,035,684/952,356
  6. Step 6: Final answer
    x = 2,179,823.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.