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Finding the Third Proportional to 409,460 and 885,987.50

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Solution

The third proportional to 409,460 and 885,987.50 is: 1,917,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,460 : 885,987.50 = 885,987.50 : x
  2. Step 2: Convert to fraction form
    409,460/885,987.50 = 885,987.50/x
  3. Step 3: Cross multiply
    409,460x = 885,987.50 × 885,987.50
  4. Step 4: Simplify right side
    409,460x = 784,973,850,156.25
  5. Step 5: Solve for x
    x = 784,973,850,156.25/409,460
  6. Step 6: Final answer
    x = 1,917,095.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.