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Finding the Third Proportional to 409,411 and 881,030

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Solution

The third proportional to 409,411 and 881,030 is: 1,895,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,411 : 881,030 = 881,030 : x
  2. Step 2: Convert to fraction form
    409,411/881,030 = 881,030/x
  3. Step 3: Cross multiply
    409,411x = 881,030 × 881,030
  4. Step 4: Simplify right side
    409,411x = 776,213,860,900
  5. Step 5: Solve for x
    x = 776,213,860,900/409,411
  6. Step 6: Final answer
    x = 1,895,928.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.