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Finding the Third Proportional to 1,055,389.50 and 1,635,214.50

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Solution

The third proportional to 1,055,389.50 and 1,635,214.50 is: 2,533,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055,389.50 : 1,635,214.50 = 1,635,214.50 : x
  2. Step 2: Convert to fraction form
    1,055,389.50/1,635,214.50 = 1,635,214.50/x
  3. Step 3: Cross multiply
    1,055,389.50x = 1,635,214.50 × 1,635,214.50
  4. Step 4: Simplify right side
    1,055,389.50x = 2,673,926,461,010.25
  5. Step 5: Solve for x
    x = 2,673,926,461,010.25/1,055,389.50
  6. Step 6: Final answer
    x = 2,533,592.06

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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.