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Finding the Third Proportional to 926,969 and 1,432,454

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Solution

The third proportional to 926,969 and 1,432,454 is: 2,213,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,969 : 1,432,454 = 1,432,454 : x
  2. Step 2: Convert to fraction form
    926,969/1,432,454 = 1,432,454/x
  3. Step 3: Cross multiply
    926,969x = 1,432,454 × 1,432,454
  4. Step 4: Simplify right side
    926,969x = 2,051,924,462,116
  5. Step 5: Solve for x
    x = 2,051,924,462,116/926,969
  6. Step 6: Final answer
    x = 2,213,584.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.