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Finding the Third Proportional to 1,030,824 and 1,560,495

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Solution

The third proportional to 1,030,824 and 1,560,495 is: 2,362,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,824 : 1,560,495 = 1,560,495 : x
  2. Step 2: Convert to fraction form
    1,030,824/1,560,495 = 1,560,495/x
  3. Step 3: Cross multiply
    1,030,824x = 1,560,495 × 1,560,495
  4. Step 4: Simplify right side
    1,030,824x = 2,435,144,645,025
  5. Step 5: Solve for x
    x = 2,435,144,645,025/1,030,824
  6. Step 6: Final answer
    x = 2,362,328.24

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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.