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Finding the Third Proportional to 1,525,822 and 2,308,374

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Solution

The third proportional to 1,525,822 and 2,308,374 is: 3,492,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,822 : 2,308,374 = 2,308,374 : x
  2. Step 2: Convert to fraction form
    1,525,822/2,308,374 = 2,308,374/x
  3. Step 3: Cross multiply
    1,525,822x = 2,308,374 × 2,308,374
  4. Step 4: Simplify right side
    1,525,822x = 5,328,590,523,876
  5. Step 5: Solve for x
    x = 5,328,590,523,876/1,525,822
  6. Step 6: Final answer
    x = 3,492,275.33

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