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Finding the Third Proportional to 556,008 and 1,213,968.50

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Solution

The third proportional to 556,008 and 1,213,968.50 is: 2,650,536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,008 : 1,213,968.50 = 1,213,968.50 : x
  2. Step 2: Convert to fraction form
    556,008/1,213,968.50 = 1,213,968.50/x
  3. Step 3: Cross multiply
    556,008x = 1,213,968.50 × 1,213,968.50
  4. Step 4: Simplify right side
    556,008x = 1,473,719,518,992.25
  5. Step 5: Solve for x
    x = 1,473,719,518,992.25/556,008
  6. Step 6: Final answer
    x = 2,650,536.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.