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Finding the Third Proportional to 523,017 and 1,117,435.50

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Solution

The third proportional to 523,017 and 1,117,435.50 is: 2,387,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,017 : 1,117,435.50 = 1,117,435.50 : x
  2. Step 2: Convert to fraction form
    523,017/1,117,435.50 = 1,117,435.50/x
  3. Step 3: Cross multiply
    523,017x = 1,117,435.50 × 1,117,435.50
  4. Step 4: Simplify right side
    523,017x = 1,248,662,096,660.25
  5. Step 5: Solve for x
    x = 1,248,662,096,660.25/523,017
  6. Step 6: Final answer
    x = 2,387,421.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.