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Finding the Third Proportional to 1,298,203.50 and 3,370,066.50

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Solution

The third proportional to 1,298,203.50 and 3,370,066.50 is: 8,748,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,203.50 : 3,370,066.50 = 3,370,066.50 : x
  2. Step 2: Convert to fraction form
    1,298,203.50/3,370,066.50 = 3,370,066.50/x
  3. Step 3: Cross multiply
    1,298,203.50x = 3,370,066.50 × 3,370,066.50
  4. Step 4: Simplify right side
    1,298,203.50x = 11,357,348,214,422.25
  5. Step 5: Solve for x
    x = 11,357,348,214,422.25/1,298,203.50
  6. Step 6: Final answer
    x = 8,748,511.47

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.